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Finding the Third Proportional to 151,801.31 and 333,127.13

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Solution

The third proportional to 151,801.31 and 333,127.13 is: 731,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,801.31 : 333,127.13 = 333,127.13 : x
  2. Step 2: Convert to fraction form
    151,801.31/333,127.13 = 333,127.13/x
  3. Step 3: Cross multiply
    151,801.31x = 333,127.13 × 333,127.13
  4. Step 4: Simplify right side
    151,801.31x = 110,973,681,410.77
  5. Step 5: Solve for x
    x = 110,973,681,410.77/151,801.31
  6. Step 6: Final answer
    x = 731,045.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.