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Finding the Third Proportional to 177,454 and 245,283

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Solution

The third proportional to 177,454 and 245,283 is: 339,038.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,454 : 245,283 = 245,283 : x
  2. Step 2: Convert to fraction form
    177,454/245,283 = 245,283/x
  3. Step 3: Cross multiply
    177,454x = 245,283 × 245,283
  4. Step 4: Simplify right side
    177,454x = 60,163,750,089
  5. Step 5: Solve for x
    x = 60,163,750,089/177,454
  6. Step 6: Final answer
    x = 339,038.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.