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Finding the Third Proportional to 168,428 and 260,148

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Solution

The third proportional to 168,428 and 260,148 is: 401,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,428 : 260,148 = 260,148 : x
  2. Step 2: Convert to fraction form
    168,428/260,148 = 260,148/x
  3. Step 3: Cross multiply
    168,428x = 260,148 × 260,148
  4. Step 4: Simplify right side
    168,428x = 67,676,981,904
  5. Step 5: Solve for x
    x = 67,676,981,904/168,428
  6. Step 6: Final answer
    x = 401,815.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.