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Finding the Third Proportional to 216,110.75 and 317,159.50

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Solution

The third proportional to 216,110.75 and 317,159.50 is: 465,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,110.75 : 317,159.50 = 317,159.50 : x
  2. Step 2: Convert to fraction form
    216,110.75/317,159.50 = 317,159.50/x
  3. Step 3: Cross multiply
    216,110.75x = 317,159.50 × 317,159.50
  4. Step 4: Simplify right side
    216,110.75x = 100,590,148,440.25
  5. Step 5: Solve for x
    x = 100,590,148,440.25/216,110.75
  6. Step 6: Final answer
    x = 465,456.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.