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Finding the Third Proportional to 134,553 and 317,178

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Solution

The third proportional to 134,553 and 317,178 is: 747,674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,553 : 317,178 = 317,178 : x
  2. Step 2: Convert to fraction form
    134,553/317,178 = 317,178/x
  3. Step 3: Cross multiply
    134,553x = 317,178 × 317,178
  4. Step 4: Simplify right side
    134,553x = 100,601,883,684
  5. Step 5: Solve for x
    x = 100,601,883,684/134,553
  6. Step 6: Final answer
    x = 747,674.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.