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Finding the Third Proportional to 113,169 and 245,807

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Solution

The third proportional to 113,169 and 245,807 is: 533,901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,169 : 245,807 = 245,807 : x
  2. Step 2: Convert to fraction form
    113,169/245,807 = 245,807/x
  3. Step 3: Cross multiply
    113,169x = 245,807 × 245,807
  4. Step 4: Simplify right side
    113,169x = 60,421,081,249
  5. Step 5: Solve for x
    x = 60,421,081,249/113,169
  6. Step 6: Final answer
    x = 533,901.34

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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.