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Finding the Third Proportional to 181,941.19 and 260,526.38

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Solution

The third proportional to 181,941.19 and 260,526.38 is: 373,054.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,941.19 : 260,526.38 = 260,526.38 : x
  2. Step 2: Convert to fraction form
    181,941.19/260,526.38 = 260,526.38/x
  3. Step 3: Cross multiply
    181,941.19x = 260,526.38 × 260,526.38
  4. Step 4: Simplify right side
    181,941.19x = 67,873,992,070.64
  5. Step 5: Solve for x
    x = 67,873,992,070.64/181,941.19
  6. Step 6: Final answer
    x = 373,054.57

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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.