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Finding the Third Proportional to 107,656 and 235,280

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Solution

The third proportional to 107,656 and 235,280 is: 514,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,656 : 235,280 = 235,280 : x
  2. Step 2: Convert to fraction form
    107,656/235,280 = 235,280/x
  3. Step 3: Cross multiply
    107,656x = 235,280 × 235,280
  4. Step 4: Simplify right side
    107,656x = 55,356,678,400
  5. Step 5: Solve for x
    x = 55,356,678,400/107,656
  6. Step 6: Final answer
    x = 514,199.66

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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.