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Finding the Third Proportional to 176,220 and 251,208

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Solution

The third proportional to 176,220 and 251,208 is: 358,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,220 : 251,208 = 251,208 : x
  2. Step 2: Convert to fraction form
    176,220/251,208 = 251,208/x
  3. Step 3: Cross multiply
    176,220x = 251,208 × 251,208
  4. Step 4: Simplify right side
    176,220x = 63,105,459,264
  5. Step 5: Solve for x
    x = 63,105,459,264/176,220
  6. Step 6: Final answer
    x = 358,106.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.