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Finding the Third Proportional to 160,048 and 257,808

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Solution

The third proportional to 160,048 and 257,808 is: 415,281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,048 : 257,808 = 257,808 : x
  2. Step 2: Convert to fraction form
    160,048/257,808 = 257,808/x
  3. Step 3: Cross multiply
    160,048x = 257,808 × 257,808
  4. Step 4: Simplify right side
    160,048x = 66,464,964,864
  5. Step 5: Solve for x
    x = 66,464,964,864/160,048
  6. Step 6: Final answer
    x = 415,281.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.