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Finding the Third Proportional to 108,216 and 232,528

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Solution

The third proportional to 108,216 and 232,528 is: 499,642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,216 : 232,528 = 232,528 : x
  2. Step 2: Convert to fraction form
    108,216/232,528 = 232,528/x
  3. Step 3: Cross multiply
    108,216x = 232,528 × 232,528
  4. Step 4: Simplify right side
    108,216x = 54,069,270,784
  5. Step 5: Solve for x
    x = 54,069,270,784/108,216
  6. Step 6: Final answer
    x = 499,642.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.