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Finding the Third Proportional to 145,600.50 and 228,446.25

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Solution

The third proportional to 145,600.50 and 228,446.25 is: 358,430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,600.50 : 228,446.25 = 228,446.25 : x
  2. Step 2: Convert to fraction form
    145,600.50/228,446.25 = 228,446.25/x
  3. Step 3: Cross multiply
    145,600.50x = 228,446.25 × 228,446.25
  4. Step 4: Simplify right side
    145,600.50x = 52,187,689,139.06
  5. Step 5: Solve for x
    x = 52,187,689,139.06/145,600.50
  6. Step 6: Final answer
    x = 358,430.70

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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.