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Finding the Third Proportional to 176,709 and 368,319

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Solution

The third proportional to 176,709 and 368,319 is: 767,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,709 : 368,319 = 368,319 : x
  2. Step 2: Convert to fraction form
    176,709/368,319 = 368,319/x
  3. Step 3: Cross multiply
    176,709x = 368,319 × 368,319
  4. Step 4: Simplify right side
    176,709x = 135,658,885,761
  5. Step 5: Solve for x
    x = 135,658,885,761/176,709
  6. Step 6: Final answer
    x = 767,696.53

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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.