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Finding the Third Proportional to 235,130 and 336,102

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Solution

The third proportional to 235,130 and 336,102 is: 480,434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,130 : 336,102 = 336,102 : x
  2. Step 2: Convert to fraction form
    235,130/336,102 = 336,102/x
  3. Step 3: Cross multiply
    235,130x = 336,102 × 336,102
  4. Step 4: Simplify right side
    235,130x = 112,964,554,404
  5. Step 5: Solve for x
    x = 112,964,554,404/235,130
  6. Step 6: Final answer
    x = 480,434.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.