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Finding the Third Proportional to 237,332 and 317,032

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Solution

The third proportional to 237,332 and 317,032 is: 423,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,332 : 317,032 = 317,032 : x
  2. Step 2: Convert to fraction form
    237,332/317,032 = 317,032/x
  3. Step 3: Cross multiply
    237,332x = 317,032 × 317,032
  4. Step 4: Simplify right side
    237,332x = 100,509,289,024
  5. Step 5: Solve for x
    x = 100,509,289,024/237,332
  6. Step 6: Final answer
    x = 423,496.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.