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Finding the Third Proportional to 123,463.69 and 270,483.19

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Solution

The third proportional to 123,463.69 and 270,483.19 is: 592,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,463.69 : 270,483.19 = 270,483.19 : x
  2. Step 2: Convert to fraction form
    123,463.69/270,483.19 = 270,483.19/x
  3. Step 3: Cross multiply
    123,463.69x = 270,483.19 × 270,483.19
  4. Step 4: Simplify right side
    123,463.69x = 73,161,154,720.16
  5. Step 5: Solve for x
    x = 73,161,154,720.16/123,463.69
  6. Step 6: Final answer
    x = 592,572.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.