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Finding the Third Proportional to 163,312 and 252,366

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Solution

The third proportional to 163,312 and 252,366 is: 389,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,312 : 252,366 = 252,366 : x
  2. Step 2: Convert to fraction form
    163,312/252,366 = 252,366/x
  3. Step 3: Cross multiply
    163,312x = 252,366 × 252,366
  4. Step 4: Simplify right side
    163,312x = 63,688,597,956
  5. Step 5: Solve for x
    x = 63,688,597,956/163,312
  6. Step 6: Final answer
    x = 389,981.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.