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Finding the Third Proportional to 249,262 and 374,209

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Solution

The third proportional to 249,262 and 374,209 is: 561,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,262 : 374,209 = 374,209 : x
  2. Step 2: Convert to fraction form
    249,262/374,209 = 374,209/x
  3. Step 3: Cross multiply
    249,262x = 374,209 × 374,209
  4. Step 4: Simplify right side
    249,262x = 140,032,375,681
  5. Step 5: Solve for x
    x = 140,032,375,681/249,262
  6. Step 6: Final answer
    x = 561,787.90

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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.