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Finding the Third Proportional to 197,084 and 432,319

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Solution

The third proportional to 197,084 and 432,319 is: 948,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,084 : 432,319 = 432,319 : x
  2. Step 2: Convert to fraction form
    197,084/432,319 = 432,319/x
  3. Step 3: Cross multiply
    197,084x = 432,319 × 432,319
  4. Step 4: Simplify right side
    197,084x = 186,899,717,761
  5. Step 5: Solve for x
    x = 186,899,717,761/197,084
  6. Step 6: Final answer
    x = 948,325.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.