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Finding the Third Proportional to 116,614.13 and 254,308.50

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Solution

The third proportional to 116,614.13 and 254,308.50 is: 554,588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,614.13 : 254,308.50 = 254,308.50 : x
  2. Step 2: Convert to fraction form
    116,614.13/254,308.50 = 254,308.50/x
  3. Step 3: Cross multiply
    116,614.13x = 254,308.50 × 254,308.50
  4. Step 4: Simplify right side
    116,614.13x = 64,672,813,172.25
  5. Step 5: Solve for x
    x = 64,672,813,172.25/116,614.13
  6. Step 6: Final answer
    x = 554,588.16

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.