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Finding the Third Proportional to 142,370 and 297,831

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Solution

The third proportional to 142,370 and 297,831 is: 623,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,370 : 297,831 = 297,831 : x
  2. Step 2: Convert to fraction form
    142,370/297,831 = 297,831/x
  3. Step 3: Cross multiply
    142,370x = 297,831 × 297,831
  4. Step 4: Simplify right side
    142,370x = 88,703,304,561
  5. Step 5: Solve for x
    x = 88,703,304,561/142,370
  6. Step 6: Final answer
    x = 623,047.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.