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Finding the Third Proportional to 172,415 and 375,868.50

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Solution

The third proportional to 172,415 and 375,868.50 is: 819,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,415 : 375,868.50 = 375,868.50 : x
  2. Step 2: Convert to fraction form
    172,415/375,868.50 = 375,868.50/x
  3. Step 3: Cross multiply
    172,415x = 375,868.50 × 375,868.50
  4. Step 4: Simplify right side
    172,415x = 141,277,129,292.25
  5. Step 5: Solve for x
    x = 141,277,129,292.25/172,415
  6. Step 6: Final answer
    x = 819,401.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.