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Finding the Third Proportional to 153,584 and 229,192

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Solution

The third proportional to 153,584 and 229,192 is: 342,021.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,584 : 229,192 = 229,192 : x
  2. Step 2: Convert to fraction form
    153,584/229,192 = 229,192/x
  3. Step 3: Cross multiply
    153,584x = 229,192 × 229,192
  4. Step 4: Simplify right side
    153,584x = 52,528,972,864
  5. Step 5: Solve for x
    x = 52,528,972,864/153,584
  6. Step 6: Final answer
    x = 342,021.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.