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Finding the Third Proportional to 102,324 and 220,776

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Solution

The third proportional to 102,324 and 220,776 is: 476,350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,324 : 220,776 = 220,776 : x
  2. Step 2: Convert to fraction form
    102,324/220,776 = 220,776/x
  3. Step 3: Cross multiply
    102,324x = 220,776 × 220,776
  4. Step 4: Simplify right side
    102,324x = 48,742,042,176
  5. Step 5: Solve for x
    x = 48,742,042,176/102,324
  6. Step 6: Final answer
    x = 476,350.05

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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.