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Finding the Third Proportional to 127,585 and 298,001.50

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Solution

The third proportional to 127,585 and 298,001.50 is: 696,044.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,585 : 298,001.50 = 298,001.50 : x
  2. Step 2: Convert to fraction form
    127,585/298,001.50 = 298,001.50/x
  3. Step 3: Cross multiply
    127,585x = 298,001.50 × 298,001.50
  4. Step 4: Simplify right side
    127,585x = 88,804,894,002.25
  5. Step 5: Solve for x
    x = 88,804,894,002.25/127,585
  6. Step 6: Final answer
    x = 696,044.94

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