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Finding the Third Proportional to 152,050 and 235,457

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Solution

The third proportional to 152,050 and 235,457 is: 364,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,050 : 235,457 = 235,457 : x
  2. Step 2: Convert to fraction form
    152,050/235,457 = 235,457/x
  3. Step 3: Cross multiply
    152,050x = 235,457 × 235,457
  4. Step 4: Simplify right side
    152,050x = 55,439,998,849
  5. Step 5: Solve for x
    x = 55,439,998,849/152,050
  6. Step 6: Final answer
    x = 364,616.89

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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.