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Finding the Third Proportional to 257,221.13 and 366,914.63

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Solution

The third proportional to 257,221.13 and 366,914.63 is: 523,387.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,221.13 : 366,914.63 = 366,914.63 : x
  2. Step 2: Convert to fraction form
    257,221.13/366,914.63 = 366,914.63/x
  3. Step 3: Cross multiply
    257,221.13x = 366,914.63 × 366,914.63
  4. Step 4: Simplify right side
    257,221.13x = 134,626,342,038.89
  5. Step 5: Solve for x
    x = 134,626,342,038.89/257,221.13
  6. Step 6: Final answer
    x = 523,387.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.