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Finding the Third Proportional to 196,983 and 432,261

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Solution

The third proportional to 196,983 and 432,261 is: 948,556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,983 : 432,261 = 432,261 : x
  2. Step 2: Convert to fraction form
    196,983/432,261 = 432,261/x
  3. Step 3: Cross multiply
    196,983x = 432,261 × 432,261
  4. Step 4: Simplify right side
    196,983x = 186,849,572,121
  5. Step 5: Solve for x
    x = 186,849,572,121/196,983
  6. Step 6: Final answer
    x = 948,556.84

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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.