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Finding the Third Proportional to 177,240 and 382,308

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Solution

The third proportional to 177,240 and 382,308 is: 824,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,240 : 382,308 = 382,308 : x
  2. Step 2: Convert to fraction form
    177,240/382,308 = 382,308/x
  3. Step 3: Cross multiply
    177,240x = 382,308 × 382,308
  4. Step 4: Simplify right side
    177,240x = 146,159,406,864
  5. Step 5: Solve for x
    x = 146,159,406,864/177,240
  6. Step 6: Final answer
    x = 824,641.20

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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.