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Finding the Third Proportional to 234,135 and 497,425.50

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Solution

The third proportional to 234,135 and 497,425.50 is: 1,056,792.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,135 : 497,425.50 = 497,425.50 : x
  2. Step 2: Convert to fraction form
    234,135/497,425.50 = 497,425.50/x
  3. Step 3: Cross multiply
    234,135x = 497,425.50 × 497,425.50
  4. Step 4: Simplify right side
    234,135x = 247,432,128,050.25
  5. Step 5: Solve for x
    x = 247,432,128,050.25/234,135
  6. Step 6: Final answer
    x = 1,056,792.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.