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Finding the Third Proportional to 177,038 and 382,248

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Solution

The third proportional to 177,038 and 382,248 is: 825,323.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,038 : 382,248 = 382,248 : x
  2. Step 2: Convert to fraction form
    177,038/382,248 = 382,248/x
  3. Step 3: Cross multiply
    177,038x = 382,248 × 382,248
  4. Step 4: Simplify right side
    177,038x = 146,113,533,504
  5. Step 5: Solve for x
    x = 146,113,533,504/177,038
  6. Step 6: Final answer
    x = 825,323.00

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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.