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Finding the Third Proportional to 266,336 and 358,838

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Solution

The third proportional to 266,336 and 358,838 is: 483,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,336 : 358,838 = 358,838 : x
  2. Step 2: Convert to fraction form
    266,336/358,838 = 358,838/x
  3. Step 3: Cross multiply
    266,336x = 358,838 × 358,838
  4. Step 4: Simplify right side
    266,336x = 128,764,710,244
  5. Step 5: Solve for x
    x = 128,764,710,244/266,336
  6. Step 6: Final answer
    x = 483,467.16

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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.