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Finding the Third Proportional to 165,624 and 258,276

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Solution

The third proportional to 165,624 and 258,276 is: 402,758.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,624 : 258,276 = 258,276 : x
  2. Step 2: Convert to fraction form
    165,624/258,276 = 258,276/x
  3. Step 3: Cross multiply
    165,624x = 258,276 × 258,276
  4. Step 4: Simplify right side
    165,624x = 66,706,492,176
  5. Step 5: Solve for x
    x = 66,706,492,176/165,624
  6. Step 6: Final answer
    x = 402,758.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.