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Finding the Third Proportional to 153,127.13 and 357,576.19

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Solution

The third proportional to 153,127.13 and 357,576.19 is: 834,997.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,127.13 : 357,576.19 = 357,576.19 : x
  2. Step 2: Convert to fraction form
    153,127.13/357,576.19 = 357,576.19/x
  3. Step 3: Cross multiply
    153,127.13x = 357,576.19 × 357,576.19
  4. Step 4: Simplify right side
    153,127.13x = 127,860,729,867.04
  5. Step 5: Solve for x
    x = 127,860,729,867.04/153,127.13
  6. Step 6: Final answer
    x = 834,997.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.