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Finding the Third Proportional to 183,641.77 and 260,085.30

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Solution

The third proportional to 183,641.77 and 260,085.30 is: 368,349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,641.77 : 260,085.30 = 260,085.30 : x
  2. Step 2: Convert to fraction form
    183,641.77/260,085.30 = 260,085.30/x
  3. Step 3: Cross multiply
    183,641.77x = 260,085.30 × 260,085.30
  4. Step 4: Simplify right side
    183,641.77x = 67,644,365,714.39
  5. Step 5: Solve for x
    x = 67,644,365,714.39/183,641.77
  6. Step 6: Final answer
    x = 368,349.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.