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Finding the Third Proportional to 130,824 and 201,339

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Solution

The third proportional to 130,824 and 201,339 is: 309,862.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,824 : 201,339 = 201,339 : x
  2. Step 2: Convert to fraction form
    130,824/201,339 = 201,339/x
  3. Step 3: Cross multiply
    130,824x = 201,339 × 201,339
  4. Step 4: Simplify right side
    130,824x = 40,537,392,921
  5. Step 5: Solve for x
    x = 40,537,392,921/130,824
  6. Step 6: Final answer
    x = 309,862.05

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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.