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Finding the Third Proportional to 151,023 and 239,926.50

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Solution

The third proportional to 151,023 and 239,926.50 is: 381,165.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,023 : 239,926.50 = 239,926.50 : x
  2. Step 2: Convert to fraction form
    151,023/239,926.50 = 239,926.50/x
  3. Step 3: Cross multiply
    151,023x = 239,926.50 × 239,926.50
  4. Step 4: Simplify right side
    151,023x = 57,564,725,402.25
  5. Step 5: Solve for x
    x = 57,564,725,402.25/151,023
  6. Step 6: Final answer
    x = 381,165.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.