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Finding the Third Proportional to 146,077.13 and 228,342

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Solution

The third proportional to 146,077.13 and 228,342 is: 356,935.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,077.13 : 228,342 = 228,342 : x
  2. Step 2: Convert to fraction form
    146,077.13/228,342 = 228,342/x
  3. Step 3: Cross multiply
    146,077.13x = 228,342 × 228,342
  4. Step 4: Simplify right side
    146,077.13x = 52,140,068,964
  5. Step 5: Solve for x
    x = 52,140,068,964/146,077.13
  6. Step 6: Final answer
    x = 356,935.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.