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Finding the Third Proportional to 212,332.50 and 460,089

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Solution

The third proportional to 212,332.50 and 460,089 is: 996,935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,332.50 : 460,089 = 460,089 : x
  2. Step 2: Convert to fraction form
    212,332.50/460,089 = 460,089/x
  3. Step 3: Cross multiply
    212,332.50x = 460,089 × 460,089
  4. Step 4: Simplify right side
    212,332.50x = 211,681,887,921
  5. Step 5: Solve for x
    x = 211,681,887,921/212,332.50
  6. Step 6: Final answer
    x = 996,935.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.