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Finding the Third Proportional to 155,440.69 and 240,032.53

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Solution

The third proportional to 155,440.69 and 240,032.53 is: 370,659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,440.69 : 240,032.53 = 240,032.53 : x
  2. Step 2: Convert to fraction form
    155,440.69/240,032.53 = 240,032.53/x
  3. Step 3: Cross multiply
    155,440.69x = 240,032.53 × 240,032.53
  4. Step 4: Simplify right side
    155,440.69x = 57,615,616,058.28
  5. Step 5: Solve for x
    x = 57,615,616,058.28/155,440.69
  6. Step 6: Final answer
    x = 370,659.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.