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Finding the Third Proportional to 145,159 and 228,106

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Solution

The third proportional to 145,159 and 228,106 is: 358,450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,159 : 228,106 = 228,106 : x
  2. Step 2: Convert to fraction form
    145,159/228,106 = 228,106/x
  3. Step 3: Cross multiply
    145,159x = 228,106 × 228,106
  4. Step 4: Simplify right side
    145,159x = 52,032,347,236
  5. Step 5: Solve for x
    x = 52,032,347,236/145,159
  6. Step 6: Final answer
    x = 358,450.71

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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.