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Finding the Third Proportional to 146,836.13 and 233,646.75

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Solution

The third proportional to 146,836.13 and 233,646.75 is: 371,780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,836.13 : 233,646.75 = 233,646.75 : x
  2. Step 2: Convert to fraction form
    146,836.13/233,646.75 = 233,646.75/x
  3. Step 3: Cross multiply
    146,836.13x = 233,646.75 × 233,646.75
  4. Step 4: Simplify right side
    146,836.13x = 54,590,803,785.56
  5. Step 5: Solve for x
    x = 54,590,803,785.56/146,836.13
  6. Step 6: Final answer
    x = 371,780.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.