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Finding the Third Proportional to 191,561.63 and 416,282.63

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Solution

The third proportional to 191,561.63 and 416,282.63 is: 904,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,561.63 : 416,282.63 = 416,282.63 : x
  2. Step 2: Convert to fraction form
    191,561.63/416,282.63 = 416,282.63/x
  3. Step 3: Cross multiply
    191,561.63x = 416,282.63 × 416,282.63
  4. Step 4: Simplify right side
    191,561.63x = 173,291,223,876.89
  5. Step 5: Solve for x
    x = 173,291,223,876.89/191,561.63
  6. Step 6: Final answer
    x = 904,623.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.