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Finding the Third Proportional to 141,988 and 291,248

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Solution

The third proportional to 141,988 and 291,248 is: 597,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,988 : 291,248 = 291,248 : x
  2. Step 2: Convert to fraction form
    141,988/291,248 = 291,248/x
  3. Step 3: Cross multiply
    141,988x = 291,248 × 291,248
  4. Step 4: Simplify right side
    141,988x = 84,825,397,504
  5. Step 5: Solve for x
    x = 84,825,397,504/141,988
  6. Step 6: Final answer
    x = 597,412.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.