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Finding the Third Proportional to 170,734 and 249,538

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Solution

The third proportional to 170,734 and 249,538 is: 364,714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,734 : 249,538 = 249,538 : x
  2. Step 2: Convert to fraction form
    170,734/249,538 = 249,538/x
  3. Step 3: Cross multiply
    170,734x = 249,538 × 249,538
  4. Step 4: Simplify right side
    170,734x = 62,269,213,444
  5. Step 5: Solve for x
    x = 62,269,213,444/170,734
  6. Step 6: Final answer
    x = 364,714.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.