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Finding the Third Proportional to 196,968.50 and 432,232

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Solution

The third proportional to 196,968.50 and 432,232 is: 948,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,968.50 : 432,232 = 432,232 : x
  2. Step 2: Convert to fraction form
    196,968.50/432,232 = 432,232/x
  3. Step 3: Cross multiply
    196,968.50x = 432,232 × 432,232
  4. Step 4: Simplify right side
    196,968.50x = 186,824,501,824
  5. Step 5: Solve for x
    x = 186,824,501,824/196,968.50
  6. Step 6: Final answer
    x = 948,499.39

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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.