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Finding the Third Proportional to 176,585 and 382,148

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Solution

The third proportional to 176,585 and 382,148 is: 827,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,585 : 382,148 = 382,148 : x
  2. Step 2: Convert to fraction form
    176,585/382,148 = 382,148/x
  3. Step 3: Cross multiply
    176,585x = 382,148 × 382,148
  4. Step 4: Simplify right side
    176,585x = 146,037,093,904
  5. Step 5: Solve for x
    x = 146,037,093,904/176,585
  6. Step 6: Final answer
    x = 827,007.36

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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.