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Finding the Third Proportional to 174,149 and 382,547

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Solution

The third proportional to 174,149 and 382,547 is: 840,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,149 : 382,547 = 382,547 : x
  2. Step 2: Convert to fraction form
    174,149/382,547 = 382,547/x
  3. Step 3: Cross multiply
    174,149x = 382,547 × 382,547
  4. Step 4: Simplify right side
    174,149x = 146,342,207,209
  5. Step 5: Solve for x
    x = 146,342,207,209/174,149
  6. Step 6: Final answer
    x = 840,327.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.