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Finding the Third Proportional to 184,386.25 and 284,768

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Solution

The third proportional to 184,386.25 and 284,768 is: 439,798.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,386.25 : 284,768 = 284,768 : x
  2. Step 2: Convert to fraction form
    184,386.25/284,768 = 284,768/x
  3. Step 3: Cross multiply
    184,386.25x = 284,768 × 284,768
  4. Step 4: Simplify right side
    184,386.25x = 81,092,813,824
  5. Step 5: Solve for x
    x = 81,092,813,824/184,386.25
  6. Step 6: Final answer
    x = 439,798.60

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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.