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Finding the Third Proportional to 213,024 and 334,160

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Solution

The third proportional to 213,024 and 334,160 is: 524,179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,024 : 334,160 = 334,160 : x
  2. Step 2: Convert to fraction form
    213,024/334,160 = 334,160/x
  3. Step 3: Cross multiply
    213,024x = 334,160 × 334,160
  4. Step 4: Simplify right side
    213,024x = 111,662,905,600
  5. Step 5: Solve for x
    x = 111,662,905,600/213,024
  6. Step 6: Final answer
    x = 524,179.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.