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Finding the Third Proportional to 238,761 and 358,121.25

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Solution

The third proportional to 238,761 and 358,121.25 is: 537,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,761 : 358,121.25 = 358,121.25 : x
  2. Step 2: Convert to fraction form
    238,761/358,121.25 = 358,121.25/x
  3. Step 3: Cross multiply
    238,761x = 358,121.25 × 358,121.25
  4. Step 4: Simplify right side
    238,761x = 128,250,829,701.56
  5. Step 5: Solve for x
    x = 128,250,829,701.56/238,761
  6. Step 6: Final answer
    x = 537,151.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.