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Finding the Third Proportional to 187,008 and 296,361

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Solution

The third proportional to 187,008 and 296,361 is: 469,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,008 : 296,361 = 296,361 : x
  2. Step 2: Convert to fraction form
    187,008/296,361 = 296,361/x
  3. Step 3: Cross multiply
    187,008x = 296,361 × 296,361
  4. Step 4: Simplify right side
    187,008x = 87,829,842,321
  5. Step 5: Solve for x
    x = 87,829,842,321/187,008
  6. Step 6: Final answer
    x = 469,658.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.