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Finding the Third Proportional to 175,069 and 249,983

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Solution

The third proportional to 175,069 and 249,983 is: 356,953.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,069 : 249,983 = 249,983 : x
  2. Step 2: Convert to fraction form
    175,069/249,983 = 249,983/x
  3. Step 3: Cross multiply
    175,069x = 249,983 × 249,983
  4. Step 4: Simplify right side
    175,069x = 62,491,500,289
  5. Step 5: Solve for x
    x = 62,491,500,289/175,069
  6. Step 6: Final answer
    x = 356,953.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.