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Finding the Third Proportional to 213,266 and 456,052

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Solution

The third proportional to 213,266 and 456,052 is: 975,230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,266 : 456,052 = 456,052 : x
  2. Step 2: Convert to fraction form
    213,266/456,052 = 456,052/x
  3. Step 3: Cross multiply
    213,266x = 456,052 × 456,052
  4. Step 4: Simplify right side
    213,266x = 207,983,426,704
  5. Step 5: Solve for x
    x = 207,983,426,704/213,266
  6. Step 6: Final answer
    x = 975,230.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.