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Finding the Third Proportional to 176,130 and 380,988

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Solution

The third proportional to 176,130 and 380,988 is: 824,117.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,130 : 380,988 = 380,988 : x
  2. Step 2: Convert to fraction form
    176,130/380,988 = 380,988/x
  3. Step 3: Cross multiply
    176,130x = 380,988 × 380,988
  4. Step 4: Simplify right side
    176,130x = 145,151,856,144
  5. Step 5: Solve for x
    x = 145,151,856,144/176,130
  6. Step 6: Final answer
    x = 824,117.73

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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.