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Finding the Third Proportional to 153,978.47 and 230,341.22

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Solution

The third proportional to 153,978.47 and 230,341.22 is: 344,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,978.47 : 230,341.22 = 230,341.22 : x
  2. Step 2: Convert to fraction form
    153,978.47/230,341.22 = 230,341.22/x
  3. Step 3: Cross multiply
    153,978.47x = 230,341.22 × 230,341.22
  4. Step 4: Simplify right side
    153,978.47x = 53,057,077,055.24
  5. Step 5: Solve for x
    x = 53,057,077,055.24/153,978.47
  6. Step 6: Final answer
    x = 344,574.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.