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Finding the Third Proportional to 195,387 and 292,261

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Solution

The third proportional to 195,387 and 292,261 is: 437,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,387 : 292,261 = 292,261 : x
  2. Step 2: Convert to fraction form
    195,387/292,261 = 292,261/x
  3. Step 3: Cross multiply
    195,387x = 292,261 × 292,261
  4. Step 4: Simplify right side
    195,387x = 85,416,492,121
  5. Step 5: Solve for x
    x = 85,416,492,121/195,387
  6. Step 6: Final answer
    x = 437,165.69

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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.