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Finding the Third Proportional to 212,823.38 and 317,389.50

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Solution

The third proportional to 212,823.38 and 317,389.50 is: 473,331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,823.38 : 317,389.50 = 317,389.50 : x
  2. Step 2: Convert to fraction form
    212,823.38/317,389.50 = 317,389.50/x
  3. Step 3: Cross multiply
    212,823.38x = 317,389.50 × 317,389.50
  4. Step 4: Simplify right side
    212,823.38x = 100,736,094,710.25
  5. Step 5: Solve for x
    x = 100,736,094,710.25/212,823.38
  6. Step 6: Final answer
    x = 473,331.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.