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Finding the Third Proportional to 183,510 and 258,415

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Solution

The third proportional to 183,510 and 258,415 is: 363,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,510 : 258,415 = 258,415 : x
  2. Step 2: Convert to fraction form
    183,510/258,415 = 258,415/x
  3. Step 3: Cross multiply
    183,510x = 258,415 × 258,415
  4. Step 4: Simplify right side
    183,510x = 66,778,312,225
  5. Step 5: Solve for x
    x = 66,778,312,225/183,510
  6. Step 6: Final answer
    x = 363,894.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.