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Finding the Third Proportional to 156,275.63 and 233,383.50

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Solution

The third proportional to 156,275.63 and 233,383.50 is: 348,537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,275.63 : 233,383.50 = 233,383.50 : x
  2. Step 2: Convert to fraction form
    156,275.63/233,383.50 = 233,383.50/x
  3. Step 3: Cross multiply
    156,275.63x = 233,383.50 × 233,383.50
  4. Step 4: Simplify right side
    156,275.63x = 54,467,858,072.25
  5. Step 5: Solve for x
    x = 54,467,858,072.25/156,275.63
  6. Step 6: Final answer
    x = 348,537.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.