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Finding the Third Proportional to 197,382 and 292,671

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Solution

The third proportional to 197,382 and 292,671 is: 433,962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,382 : 292,671 = 292,671 : x
  2. Step 2: Convert to fraction form
    197,382/292,671 = 292,671/x
  3. Step 3: Cross multiply
    197,382x = 292,671 × 292,671
  4. Step 4: Simplify right side
    197,382x = 85,656,314,241
  5. Step 5: Solve for x
    x = 85,656,314,241/197,382
  6. Step 6: Final answer
    x = 433,962.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.