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Finding the Third Proportional to 248,701.50 and 536,283

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Solution

The third proportional to 248,701.50 and 536,283 is: 1,156,404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,701.50 : 536,283 = 536,283 : x
  2. Step 2: Convert to fraction form
    248,701.50/536,283 = 536,283/x
  3. Step 3: Cross multiply
    248,701.50x = 536,283 × 536,283
  4. Step 4: Simplify right side
    248,701.50x = 287,599,456,089
  5. Step 5: Solve for x
    x = 287,599,456,089/248,701.50
  6. Step 6: Final answer
    x = 1,156,404.19

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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.