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Finding the Third Proportional to 228,924 and 313,699.50

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Solution

The third proportional to 228,924 and 313,699.50 is: 429,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,924 : 313,699.50 = 313,699.50 : x
  2. Step 2: Convert to fraction form
    228,924/313,699.50 = 313,699.50/x
  3. Step 3: Cross multiply
    228,924x = 313,699.50 × 313,699.50
  4. Step 4: Simplify right side
    228,924x = 98,407,376,300.25
  5. Step 5: Solve for x
    x = 98,407,376,300.25/228,924
  6. Step 6: Final answer
    x = 429,869.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.