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Finding the Third Proportional to 166,454 and 235,528

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Solution

The third proportional to 166,454 and 235,528 is: 333,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,454 : 235,528 = 235,528 : x
  2. Step 2: Convert to fraction form
    166,454/235,528 = 235,528/x
  3. Step 3: Cross multiply
    166,454x = 235,528 × 235,528
  4. Step 4: Simplify right side
    166,454x = 55,473,438,784
  5. Step 5: Solve for x
    x = 55,473,438,784/166,454
  6. Step 6: Final answer
    x = 333,265.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.