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Finding the Third Proportional to 83,547.56 and 180,411.75

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Solution

The third proportional to 83,547.56 and 180,411.75 is: 389,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,547.56 : 180,411.75 = 180,411.75 : x
  2. Step 2: Convert to fraction form
    83,547.56/180,411.75 = 180,411.75/x
  3. Step 3: Cross multiply
    83,547.56x = 180,411.75 × 180,411.75
  4. Step 4: Simplify right side
    83,547.56x = 32,548,399,538.06
  5. Step 5: Solve for x
    x = 32,548,399,538.06/83,547.56
  6. Step 6: Final answer
    x = 389,579.28

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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.