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Finding the Third Proportional to 74,316 and 163,326

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Solution

The third proportional to 74,316 and 163,326 is: 358,945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,316 : 163,326 = 163,326 : x
  2. Step 2: Convert to fraction form
    74,316/163,326 = 163,326/x
  3. Step 3: Cross multiply
    74,316x = 163,326 × 163,326
  4. Step 4: Simplify right side
    74,316x = 26,675,382,276
  5. Step 5: Solve for x
    x = 26,675,382,276/74,316
  6. Step 6: Final answer
    x = 358,945.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.