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Finding the Third Proportional to 178,240.50 and 416,350.13

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Solution

The third proportional to 178,240.50 and 416,350.13 is: 972,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,240.50 : 416,350.13 = 416,350.13 : x
  2. Step 2: Convert to fraction form
    178,240.50/416,350.13 = 416,350.13/x
  3. Step 3: Cross multiply
    178,240.50x = 416,350.13 × 416,350.13
  4. Step 4: Simplify right side
    178,240.50x = 173,347,426,587.52
  5. Step 5: Solve for x
    x = 173,347,426,587.52/178,240.50
  6. Step 6: Final answer
    x = 972,547.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.