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Finding the Third Proportional to 161,544 and 342,528

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Solution

The third proportional to 161,544 and 342,528 is: 726,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,544 : 342,528 = 342,528 : x
  2. Step 2: Convert to fraction form
    161,544/342,528 = 342,528/x
  3. Step 3: Cross multiply
    161,544x = 342,528 × 342,528
  4. Step 4: Simplify right side
    161,544x = 117,325,430,784
  5. Step 5: Solve for x
    x = 117,325,430,784/161,544
  6. Step 6: Final answer
    x = 726,275.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.