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Finding the Third Proportional to 104,298.75 and 228,901.50

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Solution

The third proportional to 104,298.75 and 228,901.50 is: 502,363.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,298.75 : 228,901.50 = 228,901.50 : x
  2. Step 2: Convert to fraction form
    104,298.75/228,901.50 = 228,901.50/x
  3. Step 3: Cross multiply
    104,298.75x = 228,901.50 × 228,901.50
  4. Step 4: Simplify right side
    104,298.75x = 52,395,896,702.25
  5. Step 5: Solve for x
    x = 52,395,896,702.25/104,298.75
  6. Step 6: Final answer
    x = 502,363.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.