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Finding the Third Proportional to 135,931.50 and 291,546

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Solution

The third proportional to 135,931.50 and 291,546 is: 625,308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,931.50 : 291,546 = 291,546 : x
  2. Step 2: Convert to fraction form
    135,931.50/291,546 = 291,546/x
  3. Step 3: Cross multiply
    135,931.50x = 291,546 × 291,546
  4. Step 4: Simplify right side
    135,931.50x = 84,999,070,116
  5. Step 5: Solve for x
    x = 84,999,070,116/135,931.50
  6. Step 6: Final answer
    x = 625,308.12

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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.