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Finding the Third Proportional to 127,424.81 and 297,603.28

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Solution

The third proportional to 127,424.81 and 297,603.28 is: 695,058.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,424.81 : 297,603.28 = 297,603.28 : x
  2. Step 2: Convert to fraction form
    127,424.81/297,603.28 = 297,603.28/x
  3. Step 3: Cross multiply
    127,424.81x = 297,603.28 × 297,603.28
  4. Step 4: Simplify right side
    127,424.81x = 88,567,713,010.77
  5. Step 5: Solve for x
    x = 88,567,713,010.77/127,424.81
  6. Step 6: Final answer
    x = 695,058.61

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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.