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Finding the Third Proportional to 132,389.44 and 291,501.28

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Solution

The third proportional to 132,389.44 and 291,501.28 is: 641,841.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,389.44 : 291,501.28 = 291,501.28 : x
  2. Step 2: Convert to fraction form
    132,389.44/291,501.28 = 291,501.28/x
  3. Step 3: Cross multiply
    132,389.44x = 291,501.28 × 291,501.28
  4. Step 4: Simplify right side
    132,389.44x = 84,972,996,970.39
  5. Step 5: Solve for x
    x = 84,972,996,970.39/132,389.44
  6. Step 6: Final answer
    x = 641,841.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.