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Finding the Third Proportional to 142,931 and 282,248

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Solution

The third proportional to 142,931 and 282,248 is: 557,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,931 : 282,248 = 282,248 : x
  2. Step 2: Convert to fraction form
    142,931/282,248 = 282,248/x
  3. Step 3: Cross multiply
    142,931x = 282,248 × 282,248
  4. Step 4: Simplify right side
    142,931x = 79,663,933,504
  5. Step 5: Solve for x
    x = 79,663,933,504/142,931
  6. Step 6: Final answer
    x = 557,359.38

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.