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Finding the Third Proportional to 113,454 and 188,433

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Solution

The third proportional to 113,454 and 188,433 is: 312,963.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,454 : 188,433 = 188,433 : x
  2. Step 2: Convert to fraction form
    113,454/188,433 = 188,433/x
  3. Step 3: Cross multiply
    113,454x = 188,433 × 188,433
  4. Step 4: Simplify right side
    113,454x = 35,506,995,489
  5. Step 5: Solve for x
    x = 35,506,995,489/113,454
  6. Step 6: Final answer
    x = 312,963.80

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.