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Finding the Third Proportional to 158,228 and 211,363

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Solution

The third proportional to 158,228 and 211,363 is: 282,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,228 : 211,363 = 211,363 : x
  2. Step 2: Convert to fraction form
    158,228/211,363 = 211,363/x
  3. Step 3: Cross multiply
    158,228x = 211,363 × 211,363
  4. Step 4: Simplify right side
    158,228x = 44,674,317,769
  5. Step 5: Solve for x
    x = 44,674,317,769/158,228
  6. Step 6: Final answer
    x = 282,341.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.