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Finding the Third Proportional to 118,320.75 and 253,459.13

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Solution

The third proportional to 118,320.75 and 253,459.13 is: 542,943.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,320.75 : 253,459.13 = 253,459.13 : x
  2. Step 2: Convert to fraction form
    118,320.75/253,459.13 = 253,459.13/x
  3. Step 3: Cross multiply
    118,320.75x = 253,459.13 × 253,459.13
  4. Step 4: Simplify right side
    118,320.75x = 64,241,528,045.77
  5. Step 5: Solve for x
    x = 64,241,528,045.77/118,320.75
  6. Step 6: Final answer
    x = 542,943.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.