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Finding the Third Proportional to 213,465 and 334,851

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Solution

The third proportional to 213,465 and 334,851 is: 525,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,465 : 334,851 = 334,851 : x
  2. Step 2: Convert to fraction form
    213,465/334,851 = 334,851/x
  3. Step 3: Cross multiply
    213,465x = 334,851 × 334,851
  4. Step 4: Simplify right side
    213,465x = 112,125,192,201
  5. Step 5: Solve for x
    x = 112,125,192,201/213,465
  6. Step 6: Final answer
    x = 525,262.65

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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.