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Finding the Third Proportional to 176,307 and 317,620.50

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Solution

The third proportional to 176,307 and 317,620.50 is: 572,199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,307 : 317,620.50 = 317,620.50 : x
  2. Step 2: Convert to fraction form
    176,307/317,620.50 = 317,620.50/x
  3. Step 3: Cross multiply
    176,307x = 317,620.50 × 317,620.50
  4. Step 4: Simplify right side
    176,307x = 100,882,782,020.25
  5. Step 5: Solve for x
    x = 100,882,782,020.25/176,307
  6. Step 6: Final answer
    x = 572,199.53

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.