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Finding the Third Proportional to 127,584 and 297,999

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Solution

The third proportional to 127,584 and 297,999 is: 696,038.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,584 : 297,999 = 297,999 : x
  2. Step 2: Convert to fraction form
    127,584/297,999 = 297,999/x
  3. Step 3: Cross multiply
    127,584x = 297,999 × 297,999
  4. Step 4: Simplify right side
    127,584x = 88,803,404,001
  5. Step 5: Solve for x
    x = 88,803,404,001/127,584
  6. Step 6: Final answer
    x = 696,038.72

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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.