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Finding the Third Proportional to 113,047 and 245,534

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Solution

The third proportional to 113,047 and 245,534 is: 533,290.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,047 : 245,534 = 245,534 : x
  2. Step 2: Convert to fraction form
    113,047/245,534 = 245,534/x
  3. Step 3: Cross multiply
    113,047x = 245,534 × 245,534
  4. Step 4: Simplify right side
    113,047x = 60,286,945,156
  5. Step 5: Solve for x
    x = 60,286,945,156/113,047
  6. Step 6: Final answer
    x = 533,290.98

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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.