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Finding the Third Proportional to 214,030 and 317,964

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Solution

The third proportional to 214,030 and 317,964 is: 472,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,030 : 317,964 = 317,964 : x
  2. Step 2: Convert to fraction form
    214,030/317,964 = 317,964/x
  3. Step 3: Cross multiply
    214,030x = 317,964 × 317,964
  4. Step 4: Simplify right side
    214,030x = 101,101,105,296
  5. Step 5: Solve for x
    x = 101,101,105,296/214,030
  6. Step 6: Final answer
    x = 472,368.85

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Why These Related Problems?

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