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Finding the Third Proportional to 147,835 and 317,810

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Solution

The third proportional to 147,835 and 317,810 is: 683,215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,835 : 317,810 = 317,810 : x
  2. Step 2: Convert to fraction form
    147,835/317,810 = 317,810/x
  3. Step 3: Cross multiply
    147,835x = 317,810 × 317,810
  4. Step 4: Simplify right side
    147,835x = 101,003,196,100
  5. Step 5: Solve for x
    x = 101,003,196,100/147,835
  6. Step 6: Final answer
    x = 683,215.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.