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Finding the Third Proportional to 175,447 and 371,822.50

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Solution

The third proportional to 175,447 and 371,822.50 is: 787,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,447 : 371,822.50 = 371,822.50 : x
  2. Step 2: Convert to fraction form
    175,447/371,822.50 = 371,822.50/x
  3. Step 3: Cross multiply
    175,447x = 371,822.50 × 371,822.50
  4. Step 4: Simplify right side
    175,447x = 138,251,971,506.25
  5. Step 5: Solve for x
    x = 138,251,971,506.25/175,447
  6. Step 6: Final answer
    x = 787,998.49

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.