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Finding the Third Proportional to 212,113.50 and 457,437

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Solution

The third proportional to 212,113.50 and 457,437 is: 986,493.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,113.50 : 457,437 = 457,437 : x
  2. Step 2: Convert to fraction form
    212,113.50/457,437 = 457,437/x
  3. Step 3: Cross multiply
    212,113.50x = 457,437 × 457,437
  4. Step 4: Simplify right side
    212,113.50x = 209,248,608,969
  5. Step 5: Solve for x
    x = 209,248,608,969/212,113.50
  6. Step 6: Final answer
    x = 986,493.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.