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Finding the Third Proportional to 176,969 and 385,038

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Solution

The third proportional to 176,969 and 385,038 is: 837,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,969 : 385,038 = 385,038 : x
  2. Step 2: Convert to fraction form
    176,969/385,038 = 385,038/x
  3. Step 3: Cross multiply
    176,969x = 385,038 × 385,038
  4. Step 4: Simplify right side
    176,969x = 148,254,261,444
  5. Step 5: Solve for x
    x = 148,254,261,444/176,969
  6. Step 6: Final answer
    x = 837,741.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.