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Finding the Third Proportional to 118,528 and 183,408

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Solution

The third proportional to 118,528 and 183,408 is: 283,802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,528 : 183,408 = 183,408 : x
  2. Step 2: Convert to fraction form
    118,528/183,408 = 183,408/x
  3. Step 3: Cross multiply
    118,528x = 183,408 × 183,408
  4. Step 4: Simplify right side
    118,528x = 33,638,494,464
  5. Step 5: Solve for x
    x = 33,638,494,464/118,528
  6. Step 6: Final answer
    x = 283,802.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.