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Finding the Third Proportional to 134,020 and 289,544

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Solution

The third proportional to 134,020 and 289,544 is: 625,546.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,020 : 289,544 = 289,544 : x
  2. Step 2: Convert to fraction form
    134,020/289,544 = 289,544/x
  3. Step 3: Cross multiply
    134,020x = 289,544 × 289,544
  4. Step 4: Simplify right side
    134,020x = 83,835,727,936
  5. Step 5: Solve for x
    x = 83,835,727,936/134,020
  6. Step 6: Final answer
    x = 625,546.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.