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Finding the Third Proportional to 181,681 and 260,065

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Solution

The third proportional to 181,681 and 260,065 is: 372,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,681 : 260,065 = 260,065 : x
  2. Step 2: Convert to fraction form
    181,681/260,065 = 260,065/x
  3. Step 3: Cross multiply
    181,681x = 260,065 × 260,065
  4. Step 4: Simplify right side
    181,681x = 67,633,804,225
  5. Step 5: Solve for x
    x = 67,633,804,225/181,681
  6. Step 6: Final answer
    x = 372,266.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.