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Finding the Third Proportional to 147,953 and 228,835

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Solution

The third proportional to 147,953 and 228,835 is: 353,933.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,953 : 228,835 = 228,835 : x
  2. Step 2: Convert to fraction form
    147,953/228,835 = 228,835/x
  3. Step 3: Cross multiply
    147,953x = 228,835 × 228,835
  4. Step 4: Simplify right side
    147,953x = 52,365,457,225
  5. Step 5: Solve for x
    x = 52,365,457,225/147,953
  6. Step 6: Final answer
    x = 353,933.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.