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Finding the Third Proportional to 249,567 and 374,229

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Solution

The third proportional to 249,567 and 374,229 is: 561,161.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,567 : 374,229 = 374,229 : x
  2. Step 2: Convert to fraction form
    249,567/374,229 = 374,229/x
  3. Step 3: Cross multiply
    249,567x = 374,229 × 374,229
  4. Step 4: Simplify right side
    249,567x = 140,047,344,441
  5. Step 5: Solve for x
    x = 140,047,344,441/249,567
  6. Step 6: Final answer
    x = 561,161.31

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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.