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Finding the Third Proportional to 265,743 and 358,011

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Solution

The third proportional to 265,743 and 358,011 is: 482,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,743 : 358,011 = 358,011 : x
  2. Step 2: Convert to fraction form
    265,743/358,011 = 358,011/x
  3. Step 3: Cross multiply
    265,743x = 358,011 × 358,011
  4. Step 4: Simplify right side
    265,743x = 128,171,876,121
  5. Step 5: Solve for x
    x = 128,171,876,121/265,743
  6. Step 6: Final answer
    x = 482,315.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.