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Finding the Third Proportional to 171,288 and 243,459

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Solution

The third proportional to 171,288 and 243,459 is: 346,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,288 : 243,459 = 243,459 : x
  2. Step 2: Convert to fraction form
    171,288/243,459 = 243,459/x
  3. Step 3: Cross multiply
    171,288x = 243,459 × 243,459
  4. Step 4: Simplify right side
    171,288x = 59,272,284,681
  5. Step 5: Solve for x
    x = 59,272,284,681/171,288
  6. Step 6: Final answer
    x = 346,038.75

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.