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Finding the Third Proportional to 238,009.50 and 369,123.75

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Solution

The third proportional to 238,009.50 and 369,123.75 is: 572,465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,009.50 : 369,123.75 = 369,123.75 : x
  2. Step 2: Convert to fraction form
    238,009.50/369,123.75 = 369,123.75/x
  3. Step 3: Cross multiply
    238,009.50x = 369,123.75 × 369,123.75
  4. Step 4: Simplify right side
    238,009.50x = 136,252,342,814.06
  5. Step 5: Solve for x
    x = 136,252,342,814.06/238,009.50
  6. Step 6: Final answer
    x = 572,465.98

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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.