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Finding the Third Proportional to 147,894.75 and 323,776.13

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Solution

The third proportional to 147,894.75 and 323,776.13 is: 708,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,894.75 : 323,776.13 = 323,776.13 : x
  2. Step 2: Convert to fraction form
    147,894.75/323,776.13 = 323,776.13/x
  3. Step 3: Cross multiply
    147,894.75x = 323,776.13 × 323,776.13
  4. Step 4: Simplify right side
    147,894.75x = 104,830,979,120.02
  5. Step 5: Solve for x
    x = 104,830,979,120.02/147,894.75
  6. Step 6: Final answer
    x = 708,821.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.