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Finding the Third Proportional to 183,602 and 402,148

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Solution

The third proportional to 183,602 and 402,148 is: 880,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,602 : 402,148 = 402,148 : x
  2. Step 2: Convert to fraction form
    183,602/402,148 = 402,148/x
  3. Step 3: Cross multiply
    183,602x = 402,148 × 402,148
  4. Step 4: Simplify right side
    183,602x = 161,723,013,904
  5. Step 5: Solve for x
    x = 161,723,013,904/183,602
  6. Step 6: Final answer
    x = 880,834.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.