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Finding the Third Proportional to 338,181.75 and 506,341.13

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Solution

The third proportional to 338,181.75 and 506,341.13 is: 758,117.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,181.75 : 506,341.13 = 506,341.13 : x
  2. Step 2: Convert to fraction form
    338,181.75/506,341.13 = 506,341.13/x
  3. Step 3: Cross multiply
    338,181.75x = 506,341.13 × 506,341.13
  4. Step 4: Simplify right side
    338,181.75x = 256,381,334,866.27
  5. Step 5: Solve for x
    x = 256,381,334,866.27/338,181.75
  6. Step 6: Final answer
    x = 758,117.00

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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.