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Finding the Third Proportional to 169,508 and 361,528

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Solution

The third proportional to 169,508 and 361,528 is: 771,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,508 : 361,528 = 361,528 : x
  2. Step 2: Convert to fraction form
    169,508/361,528 = 361,528/x
  3. Step 3: Cross multiply
    169,508x = 361,528 × 361,528
  4. Step 4: Simplify right side
    169,508x = 130,702,494,784
  5. Step 5: Solve for x
    x = 130,702,494,784/169,508
  6. Step 6: Final answer
    x = 771,069.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.