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Finding the Third Proportional to 181,681.50 and 260,065.50

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Solution

The third proportional to 181,681.50 and 260,065.50 is: 372,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,681.50 : 260,065.50 = 260,065.50 : x
  2. Step 2: Convert to fraction form
    181,681.50/260,065.50 = 260,065.50/x
  3. Step 3: Cross multiply
    181,681.50x = 260,065.50 × 260,065.50
  4. Step 4: Simplify right side
    181,681.50x = 67,634,064,290.25
  5. Step 5: Solve for x
    x = 67,634,064,290.25/181,681.50
  6. Step 6: Final answer
    x = 372,267.21

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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.