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Finding the Third Proportional to 191,470.50 and 318,004.88

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Solution

The third proportional to 191,470.50 and 318,004.88 is: 528,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,470.50 : 318,004.88 = 318,004.88 : x
  2. Step 2: Convert to fraction form
    191,470.50/318,004.88 = 318,004.88/x
  3. Step 3: Cross multiply
    191,470.50x = 318,004.88 × 318,004.88
  4. Step 4: Simplify right side
    191,470.50x = 101,127,100,523.77
  5. Step 5: Solve for x
    x = 101,127,100,523.77/191,470.50
  6. Step 6: Final answer
    x = 528,160.22

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.