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Finding the Third Proportional to 235,471.50 and 514,954.50

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Solution

The third proportional to 235,471.50 and 514,954.50 is: 1,126,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,471.50 : 514,954.50 = 514,954.50 : x
  2. Step 2: Convert to fraction form
    235,471.50/514,954.50 = 514,954.50/x
  3. Step 3: Cross multiply
    235,471.50x = 514,954.50 × 514,954.50
  4. Step 4: Simplify right side
    235,471.50x = 265,178,137,070.25
  5. Step 5: Solve for x
    x = 265,178,137,070.25/235,471.50
  6. Step 6: Final answer
    x = 1,126,158.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.