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Finding the Third Proportional to 110,808 and 243,776

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Solution

The third proportional to 110,808 and 243,776 is: 536,303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,808 : 243,776 = 243,776 : x
  2. Step 2: Convert to fraction form
    110,808/243,776 = 243,776/x
  3. Step 3: Cross multiply
    110,808x = 243,776 × 243,776
  4. Step 4: Simplify right side
    110,808x = 59,426,738,176
  5. Step 5: Solve for x
    x = 59,426,738,176/110,808
  6. Step 6: Final answer
    x = 536,303.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.