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Finding the Third Proportional to 183,737 and 260,058

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Solution

The third proportional to 183,737 and 260,058 is: 368,081.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,737 : 260,058 = 260,058 : x
  2. Step 2: Convert to fraction form
    183,737/260,058 = 260,058/x
  3. Step 3: Cross multiply
    183,737x = 260,058 × 260,058
  4. Step 4: Simplify right side
    183,737x = 67,630,163,364
  5. Step 5: Solve for x
    x = 67,630,163,364/183,737
  6. Step 6: Final answer
    x = 368,081.35

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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.