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Finding the Third Proportional to 249,552 and 349,254

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Solution

The third proportional to 249,552 and 349,254 is: 488,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,552 : 349,254 = 349,254 : x
  2. Step 2: Convert to fraction form
    249,552/349,254 = 349,254/x
  3. Step 3: Cross multiply
    249,552x = 349,254 × 349,254
  4. Step 4: Simplify right side
    249,552x = 121,978,356,516
  5. Step 5: Solve for x
    x = 121,978,356,516/249,552
  6. Step 6: Final answer
    x = 488,789.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.