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Finding the Third Proportional to 147,714.75 and 221,521.50

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Solution

The third proportional to 147,714.75 and 221,521.50 is: 332,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,714.75 : 221,521.50 = 221,521.50 : x
  2. Step 2: Convert to fraction form
    147,714.75/221,521.50 = 221,521.50/x
  3. Step 3: Cross multiply
    147,714.75x = 221,521.50 × 221,521.50
  4. Step 4: Simplify right side
    147,714.75x = 49,071,774,962.25
  5. Step 5: Solve for x
    x = 49,071,774,962.25/147,714.75
  6. Step 6: Final answer
    x = 332,206.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.