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Finding the Third Proportional to 110,550 and 238,572

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Solution

The third proportional to 110,550 and 238,572 is: 514,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,550 : 238,572 = 238,572 : x
  2. Step 2: Convert to fraction form
    110,550/238,572 = 238,572/x
  3. Step 3: Cross multiply
    110,550x = 238,572 × 238,572
  4. Step 4: Simplify right side
    110,550x = 56,916,599,184
  5. Step 5: Solve for x
    x = 56,916,599,184/110,550
  6. Step 6: Final answer
    x = 514,849.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.