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Finding the Third Proportional to 153,582 and 232,521

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Solution

The third proportional to 153,582 and 232,521 is: 352,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,582 : 232,521 = 232,521 : x
  2. Step 2: Convert to fraction form
    153,582/232,521 = 232,521/x
  3. Step 3: Cross multiply
    153,582x = 232,521 × 232,521
  4. Step 4: Simplify right side
    153,582x = 54,066,015,441
  5. Step 5: Solve for x
    x = 54,066,015,441/153,582
  6. Step 6: Final answer
    x = 352,033.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.