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Finding the Third Proportional to 127,518.75 and 297,838.13

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Solution

The third proportional to 127,518.75 and 297,838.13 is: 695,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,518.75 : 297,838.13 = 297,838.13 : x
  2. Step 2: Convert to fraction form
    127,518.75/297,838.13 = 297,838.13/x
  3. Step 3: Cross multiply
    127,518.75x = 297,838.13 × 297,838.13
  4. Step 4: Simplify right side
    127,518.75x = 88,707,548,703.52
  5. Step 5: Solve for x
    x = 88,707,548,703.52/127,518.75
  6. Step 6: Final answer
    x = 695,643.18

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.