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Finding the Third Proportional to 98,856 and 233,259.75

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Solution

The third proportional to 98,856 and 233,259.75 is: 550,397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,856 : 233,259.75 = 233,259.75 : x
  2. Step 2: Convert to fraction form
    98,856/233,259.75 = 233,259.75/x
  3. Step 3: Cross multiply
    98,856x = 233,259.75 × 233,259.75
  4. Step 4: Simplify right side
    98,856x = 54,410,110,970.06
  5. Step 5: Solve for x
    x = 54,410,110,970.06/98,856
  6. Step 6: Final answer
    x = 550,397.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.