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Finding the Third Proportional to 147,492 and 221,382

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Solution

The third proportional to 147,492 and 221,382 is: 332,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,492 : 221,382 = 221,382 : x
  2. Step 2: Convert to fraction form
    147,492/221,382 = 221,382/x
  3. Step 3: Cross multiply
    147,492x = 221,382 × 221,382
  4. Step 4: Simplify right side
    147,492x = 49,009,989,924
  5. Step 5: Solve for x
    x = 49,009,989,924/147,492
  6. Step 6: Final answer
    x = 332,289.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.