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Finding the Third Proportional to 165,348 and 358,164

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Solution

The third proportional to 165,348 and 358,164 is: 775,827.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,348 : 358,164 = 358,164 : x
  2. Step 2: Convert to fraction form
    165,348/358,164 = 358,164/x
  3. Step 3: Cross multiply
    165,348x = 358,164 × 358,164
  4. Step 4: Simplify right side
    165,348x = 128,281,450,896
  5. Step 5: Solve for x
    x = 128,281,450,896/165,348
  6. Step 6: Final answer
    x = 775,827.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.