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Finding the Third Proportional to 145,833 and 228,471

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Solution

The third proportional to 145,833 and 228,471 is: 357,936.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,833 : 228,471 = 228,471 : x
  2. Step 2: Convert to fraction form
    145,833/228,471 = 228,471/x
  3. Step 3: Cross multiply
    145,833x = 228,471 × 228,471
  4. Step 4: Simplify right side
    145,833x = 52,198,997,841
  5. Step 5: Solve for x
    x = 52,198,997,841/145,833
  6. Step 6: Final answer
    x = 357,936.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.