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Finding the Third Proportional to 176,969 and 382,090

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Solution

The third proportional to 176,969 and 382,090 is: 824,962.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,969 : 382,090 = 382,090 : x
  2. Step 2: Convert to fraction form
    176,969/382,090 = 382,090/x
  3. Step 3: Cross multiply
    176,969x = 382,090 × 382,090
  4. Step 4: Simplify right side
    176,969x = 145,992,768,100
  5. Step 5: Solve for x
    x = 145,992,768,100/176,969
  6. Step 6: Final answer
    x = 824,962.38

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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.