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Finding the Third Proportional to 172,652.34 and 376,665.75

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Solution

The third proportional to 172,652.34 and 376,665.75 is: 821,750.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,652.34 : 376,665.75 = 376,665.75 : x
  2. Step 2: Convert to fraction form
    172,652.34/376,665.75 = 376,665.75/x
  3. Step 3: Cross multiply
    172,652.34x = 376,665.75 × 376,665.75
  4. Step 4: Simplify right side
    172,652.34x = 141,877,087,223.06
  5. Step 5: Solve for x
    x = 141,877,087,223.06/172,652.34
  6. Step 6: Final answer
    x = 821,750.14

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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.