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Finding the Third Proportional to 118,374 and 183,985.50

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Solution

The third proportional to 118,374 and 183,985.50 is: 285,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,374 : 183,985.50 = 183,985.50 : x
  2. Step 2: Convert to fraction form
    118,374/183,985.50 = 183,985.50/x
  3. Step 3: Cross multiply
    118,374x = 183,985.50 × 183,985.50
  4. Step 4: Simplify right side
    118,374x = 33,850,664,210.25
  5. Step 5: Solve for x
    x = 33,850,664,210.25/118,374
  6. Step 6: Final answer
    x = 285,963.68

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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.