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Finding the Third Proportional to 212,554.55 and 317,697.82

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Solution

The third proportional to 212,554.55 and 317,697.82 is: 474,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,554.55 : 317,697.82 = 317,697.82 : x
  2. Step 2: Convert to fraction form
    212,554.55/317,697.82 = 317,697.82/x
  3. Step 3: Cross multiply
    212,554.55x = 317,697.82 × 317,697.82
  4. Step 4: Simplify right side
    212,554.55x = 100,931,905,031.31
  5. Step 5: Solve for x
    x = 100,931,905,031.31/212,554.55
  6. Step 6: Final answer
    x = 474,851.78

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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.