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Finding the Third Proportional to 216,112 and 317,156.25

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Solution

The third proportional to 216,112 and 317,156.25 is: 465,444.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,112 : 317,156.25 = 317,156.25 : x
  2. Step 2: Convert to fraction form
    216,112/317,156.25 = 317,156.25/x
  3. Step 3: Cross multiply
    216,112x = 317,156.25 × 317,156.25
  4. Step 4: Simplify right side
    216,112x = 100,588,086,914.06
  5. Step 5: Solve for x
    x = 100,588,086,914.06/216,112
  6. Step 6: Final answer
    x = 465,444.25

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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.