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Finding the Third Proportional to 255,358 and 404,154

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Solution

The third proportional to 255,358 and 404,154 is: 639,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,358 : 404,154 = 404,154 : x
  2. Step 2: Convert to fraction form
    255,358/404,154 = 404,154/x
  3. Step 3: Cross multiply
    255,358x = 404,154 × 404,154
  4. Step 4: Simplify right side
    255,358x = 163,340,455,716
  5. Step 5: Solve for x
    x = 163,340,455,716/255,358
  6. Step 6: Final answer
    x = 639,652.78

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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.