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Finding the Third Proportional to 162,240 and 250,032

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Solution

The third proportional to 162,240 and 250,032 is: 385,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,240 : 250,032 = 250,032 : x
  2. Step 2: Convert to fraction form
    162,240/250,032 = 250,032/x
  3. Step 3: Cross multiply
    162,240x = 250,032 × 250,032
  4. Step 4: Simplify right side
    162,240x = 62,516,001,024
  5. Step 5: Solve for x
    x = 62,516,001,024/162,240
  6. Step 6: Final answer
    x = 385,330.38

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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.