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Finding the Third Proportional to 142,850 and 211,359

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Solution

The third proportional to 142,850 and 211,359 is: 312,724.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,850 : 211,359 = 211,359 : x
  2. Step 2: Convert to fraction form
    142,850/211,359 = 211,359/x
  3. Step 3: Cross multiply
    142,850x = 211,359 × 211,359
  4. Step 4: Simplify right side
    142,850x = 44,672,626,881
  5. Step 5: Solve for x
    x = 44,672,626,881/142,850
  6. Step 6: Final answer
    x = 312,724.02

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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.