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Finding the Third Proportional to 147,825 and 228,298.50

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Solution

The third proportional to 147,825 and 228,298.50 is: 352,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,825 : 228,298.50 = 228,298.50 : x
  2. Step 2: Convert to fraction form
    147,825/228,298.50 = 228,298.50/x
  3. Step 3: Cross multiply
    147,825x = 228,298.50 × 228,298.50
  4. Step 4: Simplify right side
    147,825x = 52,120,205,102.25
  5. Step 5: Solve for x
    x = 52,120,205,102.25/147,825
  6. Step 6: Final answer
    x = 352,580.45

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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.