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Finding the Third Proportional to 196,106 and 423,316

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Solution

The third proportional to 196,106 and 423,316 is: 913,773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,106 : 423,316 = 423,316 : x
  2. Step 2: Convert to fraction form
    196,106/423,316 = 423,316/x
  3. Step 3: Cross multiply
    196,106x = 423,316 × 423,316
  4. Step 4: Simplify right side
    196,106x = 179,196,435,856
  5. Step 5: Solve for x
    x = 179,196,435,856/196,106
  6. Step 6: Final answer
    x = 913,773.35

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Why These Related Problems?

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