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Finding the Third Proportional to 160,364 and 253,914

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Solution

The third proportional to 160,364 and 253,914 is: 402,037.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,364 : 253,914 = 253,914 : x
  2. Step 2: Convert to fraction form
    160,364/253,914 = 253,914/x
  3. Step 3: Cross multiply
    160,364x = 253,914 × 253,914
  4. Step 4: Simplify right side
    160,364x = 64,472,319,396
  5. Step 5: Solve for x
    x = 64,472,319,396/160,364
  6. Step 6: Final answer
    x = 402,037.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.