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Finding the Third Proportional to 106,548 and 231,528

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Solution

The third proportional to 106,548 and 231,528 is: 503,108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,548 : 231,528 = 231,528 : x
  2. Step 2: Convert to fraction form
    106,548/231,528 = 231,528/x
  3. Step 3: Cross multiply
    106,548x = 231,528 × 231,528
  4. Step 4: Simplify right side
    106,548x = 53,605,214,784
  5. Step 5: Solve for x
    x = 53,605,214,784/106,548
  6. Step 6: Final answer
    x = 503,108.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.