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Finding the Third Proportional to 196,202 and 423,490

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Solution

The third proportional to 196,202 and 423,490 is: 914,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,202 : 423,490 = 423,490 : x
  2. Step 2: Convert to fraction form
    196,202/423,490 = 423,490/x
  3. Step 3: Cross multiply
    196,202x = 423,490 × 423,490
  4. Step 4: Simplify right side
    196,202x = 179,343,780,100
  5. Step 5: Solve for x
    x = 179,343,780,100/196,202
  6. Step 6: Final answer
    x = 914,077.23

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