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Finding the Third Proportional to 151,117.50 and 317,751

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Solution

The third proportional to 151,117.50 and 317,751 is: 668,127.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,117.50 : 317,751 = 317,751 : x
  2. Step 2: Convert to fraction form
    151,117.50/317,751 = 317,751/x
  3. Step 3: Cross multiply
    151,117.50x = 317,751 × 317,751
  4. Step 4: Simplify right side
    151,117.50x = 100,965,698,001
  5. Step 5: Solve for x
    x = 100,965,698,001/151,117.50
  6. Step 6: Final answer
    x = 668,127.11

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.