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Finding the Third Proportional to 114,985 and 247,466

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Solution

The third proportional to 114,985 and 247,466 is: 532,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,985 : 247,466 = 247,466 : x
  2. Step 2: Convert to fraction form
    114,985/247,466 = 247,466/x
  3. Step 3: Cross multiply
    114,985x = 247,466 × 247,466
  4. Step 4: Simplify right side
    114,985x = 61,239,421,156
  5. Step 5: Solve for x
    x = 61,239,421,156/114,985
  6. Step 6: Final answer
    x = 532,586.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.