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Finding the Third Proportional to 107,710.50 and 235,487

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Solution

The third proportional to 107,710.50 and 235,487 is: 514,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,710.50 : 235,487 = 235,487 : x
  2. Step 2: Convert to fraction form
    107,710.50/235,487 = 235,487/x
  3. Step 3: Cross multiply
    107,710.50x = 235,487 × 235,487
  4. Step 4: Simplify right side
    107,710.50x = 55,454,127,169
  5. Step 5: Solve for x
    x = 55,454,127,169/107,710.50
  6. Step 6: Final answer
    x = 514,844.21

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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.