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Finding the Third Proportional to 178,168 and 371,076

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Solution

The third proportional to 178,168 and 371,076 is: 772,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,168 : 371,076 = 371,076 : x
  2. Step 2: Convert to fraction form
    178,168/371,076 = 371,076/x
  3. Step 3: Cross multiply
    178,168x = 371,076 × 371,076
  4. Step 4: Simplify right side
    178,168x = 137,697,397,776
  5. Step 5: Solve for x
    x = 137,697,397,776/178,168
  6. Step 6: Final answer
    x = 772,851.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.