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Finding the Third Proportional to 254,159.65 and 550,162.13

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Solution

The third proportional to 254,159.65 and 550,162.13 is: 1,190,898.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,159.65 : 550,162.13 = 550,162.13 : x
  2. Step 2: Convert to fraction form
    254,159.65/550,162.13 = 550,162.13/x
  3. Step 3: Cross multiply
    254,159.65x = 550,162.13 × 550,162.13
  4. Step 4: Simplify right side
    254,159.65x = 302,678,363,784.52
  5. Step 5: Solve for x
    x = 302,678,363,784.52/254,159.65
  6. Step 6: Final answer
    x = 1,190,898.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.