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Finding the Third Proportional to 183,502 and 282,135

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Solution

The third proportional to 183,502 and 282,135 is: 433,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,502 : 282,135 = 282,135 : x
  2. Step 2: Convert to fraction form
    183,502/282,135 = 282,135/x
  3. Step 3: Cross multiply
    183,502x = 282,135 × 282,135
  4. Step 4: Simplify right side
    183,502x = 79,600,158,225
  5. Step 5: Solve for x
    x = 79,600,158,225/183,502
  6. Step 6: Final answer
    x = 433,783.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.