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Finding the Third Proportional to 130,826 and 201,342

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Solution

The third proportional to 130,826 and 201,342 is: 309,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,826 : 201,342 = 201,342 : x
  2. Step 2: Convert to fraction form
    130,826/201,342 = 201,342/x
  3. Step 3: Cross multiply
    130,826x = 201,342 × 201,342
  4. Step 4: Simplify right side
    130,826x = 40,538,600,964
  5. Step 5: Solve for x
    x = 40,538,600,964/130,826
  6. Step 6: Final answer
    x = 309,866.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.