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Finding the Third Proportional to 223,079.63 and 335,116.13

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Solution

The third proportional to 223,079.63 and 335,116.13 is: 503,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,079.63 : 335,116.13 = 335,116.13 : x
  2. Step 2: Convert to fraction form
    223,079.63/335,116.13 = 335,116.13/x
  3. Step 3: Cross multiply
    223,079.63x = 335,116.13 × 335,116.13
  4. Step 4: Simplify right side
    223,079.63x = 112,302,817,235.02
  5. Step 5: Solve for x
    x = 112,302,817,235.02/223,079.63
  6. Step 6: Final answer
    x = 503,420.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.