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Finding the Third Proportional to 151,402.50 and 328,562.25

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Solution

The third proportional to 151,402.50 and 328,562.25 is: 713,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,402.50 : 328,562.25 = 328,562.25 : x
  2. Step 2: Convert to fraction form
    151,402.50/328,562.25 = 328,562.25/x
  3. Step 3: Cross multiply
    151,402.50x = 328,562.25 × 328,562.25
  4. Step 4: Simplify right side
    151,402.50x = 107,953,152,125.06
  5. Step 5: Solve for x
    x = 107,953,152,125.06/151,402.50
  6. Step 6: Final answer
    x = 713,020.94

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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.