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Finding the Third Proportional to 159,472 and 250,196

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Solution

The third proportional to 159,472 and 250,196 is: 392,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,472 : 250,196 = 250,196 : x
  2. Step 2: Convert to fraction form
    159,472/250,196 = 250,196/x
  3. Step 3: Cross multiply
    159,472x = 250,196 × 250,196
  4. Step 4: Simplify right side
    159,472x = 62,598,038,416
  5. Step 5: Solve for x
    x = 62,598,038,416/159,472
  6. Step 6: Final answer
    x = 392,533.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.