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Finding the Third Proportional to 132,985.41 and 288,577.13

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Solution

The third proportional to 132,985.41 and 288,577.13 is: 626,209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,985.41 : 288,577.13 = 288,577.13 : x
  2. Step 2: Convert to fraction form
    132,985.41/288,577.13 = 288,577.13/x
  3. Step 3: Cross multiply
    132,985.41x = 288,577.13 × 288,577.13
  4. Step 4: Simplify right side
    132,985.41x = 83,276,757,073.27
  5. Step 5: Solve for x
    x = 83,276,757,073.27/132,985.41
  6. Step 6: Final answer
    x = 626,209.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.