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Finding the Third Proportional to 162,599 and 250,239

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Solution

The third proportional to 162,599 and 250,239 is: 385,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,599 : 250,239 = 250,239 : x
  2. Step 2: Convert to fraction form
    162,599/250,239 = 250,239/x
  3. Step 3: Cross multiply
    162,599x = 250,239 × 250,239
  4. Step 4: Simplify right side
    162,599x = 62,619,557,121
  5. Step 5: Solve for x
    x = 62,619,557,121/162,599
  6. Step 6: Final answer
    x = 385,116.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.