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Finding the Third Proportional to 193,360.61 and 416,341.58

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Solution

The third proportional to 193,360.61 and 416,341.58 is: 896,461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,360.61 : 416,341.58 = 416,341.58 : x
  2. Step 2: Convert to fraction form
    193,360.61/416,341.58 = 416,341.58/x
  3. Step 3: Cross multiply
    193,360.61x = 416,341.58 × 416,341.58
  4. Step 4: Simplify right side
    193,360.61x = 173,340,312,928.28
  5. Step 5: Solve for x
    x = 173,340,312,928.28/193,360.61
  6. Step 6: Final answer
    x = 896,461.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.