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Finding the Third Proportional to 142,956.50 and 210,276.25

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Solution

The third proportional to 142,956.50 and 210,276.25 is: 309,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,956.50 : 210,276.25 = 210,276.25 : x
  2. Step 2: Convert to fraction form
    142,956.50/210,276.25 = 210,276.25/x
  3. Step 3: Cross multiply
    142,956.50x = 210,276.25 × 210,276.25
  4. Step 4: Simplify right side
    142,956.50x = 44,216,101,314.06
  5. Step 5: Solve for x
    x = 44,216,101,314.06/142,956.50
  6. Step 6: Final answer
    x = 309,297.59

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.