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Finding the Third Proportional to 176,335.50 and 247,778

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Solution

The third proportional to 176,335.50 and 247,778 is: 348,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,335.50 : 247,778 = 247,778 : x
  2. Step 2: Convert to fraction form
    176,335.50/247,778 = 247,778/x
  3. Step 3: Cross multiply
    176,335.50x = 247,778 × 247,778
  4. Step 4: Simplify right side
    176,335.50x = 61,393,937,284
  5. Step 5: Solve for x
    x = 61,393,937,284/176,335.50
  6. Step 6: Final answer
    x = 348,165.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.