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Finding the Third Proportional to 76,473.94 and 165,547.88

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Solution

The third proportional to 76,473.94 and 165,547.88 is: 358,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,473.94 : 165,547.88 = 165,547.88 : x
  2. Step 2: Convert to fraction form
    76,473.94/165,547.88 = 165,547.88/x
  3. Step 3: Cross multiply
    76,473.94x = 165,547.88 × 165,547.88
  4. Step 4: Simplify right side
    76,473.94x = 27,406,098,917.02
  5. Step 5: Solve for x
    x = 27,406,098,917.02/76,473.94
  6. Step 6: Final answer
    x = 358,371.75

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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.