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Finding the Third Proportional to 249,583 and 374,251

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Solution

The third proportional to 249,583 and 374,251 is: 561,191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,583 : 374,251 = 374,251 : x
  2. Step 2: Convert to fraction form
    249,583/374,251 = 374,251/x
  3. Step 3: Cross multiply
    249,583x = 374,251 × 374,251
  4. Step 4: Simplify right side
    249,583x = 140,063,811,001
  5. Step 5: Solve for x
    x = 140,063,811,001/249,583
  6. Step 6: Final answer
    x = 561,191.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.