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Finding the Third Proportional to 187,398 and 296,480

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Solution

The third proportional to 187,398 and 296,480 is: 469,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,398 : 296,480 = 296,480 : x
  2. Step 2: Convert to fraction form
    187,398/296,480 = 296,480/x
  3. Step 3: Cross multiply
    187,398x = 296,480 × 296,480
  4. Step 4: Simplify right side
    187,398x = 87,900,390,400
  5. Step 5: Solve for x
    x = 87,900,390,400/187,398
  6. Step 6: Final answer
    x = 469,057.25

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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.