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Finding the Third Proportional to 175,044 and 262,510

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Solution

The third proportional to 175,044 and 262,510 is: 393,681.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,044 : 262,510 = 262,510 : x
  2. Step 2: Convert to fraction form
    175,044/262,510 = 262,510/x
  3. Step 3: Cross multiply
    175,044x = 262,510 × 262,510
  4. Step 4: Simplify right side
    175,044x = 68,911,500,100
  5. Step 5: Solve for x
    x = 68,911,500,100/175,044
  6. Step 6: Final answer
    x = 393,681.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.