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Finding the Third Proportional to 175,643.44 and 277,851.52

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Solution

The third proportional to 175,643.44 and 277,851.52 is: 439,535.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,643.44 : 277,851.52 = 277,851.52 : x
  2. Step 2: Convert to fraction form
    175,643.44/277,851.52 = 277,851.52/x
  3. Step 3: Cross multiply
    175,643.44x = 277,851.52 × 277,851.52
  4. Step 4: Simplify right side
    175,643.44x = 77,201,464,735.11
  5. Step 5: Solve for x
    x = 77,201,464,735.11/175,643.44
  6. Step 6: Final answer
    x = 439,535.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.