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Finding the Third Proportional to 265,115 and 401,534

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Solution

The third proportional to 265,115 and 401,534 is: 608,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,115 : 401,534 = 401,534 : x
  2. Step 2: Convert to fraction form
    265,115/401,534 = 401,534/x
  3. Step 3: Cross multiply
    265,115x = 401,534 × 401,534
  4. Step 4: Simplify right side
    265,115x = 161,229,553,156
  5. Step 5: Solve for x
    x = 161,229,553,156/265,115
  6. Step 6: Final answer
    x = 608,149.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.