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Finding the Third Proportional to 153,398 and 232,473

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Solution

The third proportional to 153,398 and 232,473 is: 352,310.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,398 : 232,473 = 232,473 : x
  2. Step 2: Convert to fraction form
    153,398/232,473 = 232,473/x
  3. Step 3: Cross multiply
    153,398x = 232,473 × 232,473
  4. Step 4: Simplify right side
    153,398x = 54,043,695,729
  5. Step 5: Solve for x
    x = 54,043,695,729/153,398
  6. Step 6: Final answer
    x = 352,310.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.