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Finding the Third Proportional to 153,582.75 and 332,137.13

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Solution

The third proportional to 153,582.75 and 332,137.13 is: 718,277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,582.75 : 332,137.13 = 332,137.13 : x
  2. Step 2: Convert to fraction form
    153,582.75/332,137.13 = 332,137.13/x
  3. Step 3: Cross multiply
    153,582.75x = 332,137.13 × 332,137.13
  4. Step 4: Simplify right side
    153,582.75x = 110,315,069,803.27
  5. Step 5: Solve for x
    x = 110,315,069,803.27/153,582.75
  6. Step 6: Final answer
    x = 718,277.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.