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Finding the Third Proportional to 196,967.50 and 432,230

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Solution

The third proportional to 196,967.50 and 432,230 is: 948,495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,967.50 : 432,230 = 432,230 : x
  2. Step 2: Convert to fraction form
    196,967.50/432,230 = 432,230/x
  3. Step 3: Cross multiply
    196,967.50x = 432,230 × 432,230
  4. Step 4: Simplify right side
    196,967.50x = 186,822,772,900
  5. Step 5: Solve for x
    x = 186,822,772,900/196,967.50
  6. Step 6: Final answer
    x = 948,495.43

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