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Finding the Third Proportional to 114,966 and 247,428

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Solution

The third proportional to 114,966 and 247,428 is: 532,510.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,966 : 247,428 = 247,428 : x
  2. Step 2: Convert to fraction form
    114,966/247,428 = 247,428/x
  3. Step 3: Cross multiply
    114,966x = 247,428 × 247,428
  4. Step 4: Simplify right side
    114,966x = 61,220,615,184
  5. Step 5: Solve for x
    x = 61,220,615,184/114,966
  6. Step 6: Final answer
    x = 532,510.61

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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.