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Finding the Third Proportional to 249,577 and 374,242

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Solution

The third proportional to 249,577 and 374,242 is: 561,177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,577 : 374,242 = 374,242 : x
  2. Step 2: Convert to fraction form
    249,577/374,242 = 374,242/x
  3. Step 3: Cross multiply
    249,577x = 374,242 × 374,242
  4. Step 4: Simplify right side
    249,577x = 140,057,074,564
  5. Step 5: Solve for x
    x = 140,057,074,564/249,577
  6. Step 6: Final answer
    x = 561,177.81

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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.