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Finding the Third Proportional to 113,952 and 245,409

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Solution

The third proportional to 113,952 and 245,409 is: 528,517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,952 : 245,409 = 245,409 : x
  2. Step 2: Convert to fraction form
    113,952/245,409 = 245,409/x
  3. Step 3: Cross multiply
    113,952x = 245,409 × 245,409
  4. Step 4: Simplify right side
    113,952x = 60,225,577,281
  5. Step 5: Solve for x
    x = 60,225,577,281/113,952
  6. Step 6: Final answer
    x = 528,517.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.