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Finding the Third Proportional to 173,898 and 366,478.50

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Solution

The third proportional to 173,898 and 366,478.50 is: 772,329.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,898 : 366,478.50 = 366,478.50 : x
  2. Step 2: Convert to fraction form
    173,898/366,478.50 = 366,478.50/x
  3. Step 3: Cross multiply
    173,898x = 366,478.50 × 366,478.50
  4. Step 4: Simplify right side
    173,898x = 134,306,490,962.25
  5. Step 5: Solve for x
    x = 134,306,490,962.25/173,898
  6. Step 6: Final answer
    x = 772,329.13

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.