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Finding the Third Proportional to 194,808 and 455,146

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Solution

The third proportional to 194,808 and 455,146 is: 1,063,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,808 : 455,146 = 455,146 : x
  2. Step 2: Convert to fraction form
    194,808/455,146 = 455,146/x
  3. Step 3: Cross multiply
    194,808x = 455,146 × 455,146
  4. Step 4: Simplify right side
    194,808x = 207,157,881,316
  5. Step 5: Solve for x
    x = 207,157,881,316/194,808
  6. Step 6: Final answer
    x = 1,063,395.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.