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Finding the Third Proportional to 235,923 and 375,256.50

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Solution

The third proportional to 235,923 and 375,256.50 is: 596,878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,923 : 375,256.50 = 375,256.50 : x
  2. Step 2: Convert to fraction form
    235,923/375,256.50 = 375,256.50/x
  3. Step 3: Cross multiply
    235,923x = 375,256.50 × 375,256.50
  4. Step 4: Simplify right side
    235,923x = 140,817,440,792.25
  5. Step 5: Solve for x
    x = 140,817,440,792.25/235,923
  6. Step 6: Final answer
    x = 596,878.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.