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Finding the Third Proportional to 212,772 and 314,952

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Solution

The third proportional to 212,772 and 314,952 is: 466,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,772 : 314,952 = 314,952 : x
  2. Step 2: Convert to fraction form
    212,772/314,952 = 314,952/x
  3. Step 3: Cross multiply
    212,772x = 314,952 × 314,952
  4. Step 4: Simplify right side
    212,772x = 99,194,762,304
  5. Step 5: Solve for x
    x = 99,194,762,304/212,772
  6. Step 6: Final answer
    x = 466,202.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.