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Finding the Third Proportional to 210,114.25 and 314,428.88

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Solution

The third proportional to 210,114.25 and 314,428.88 is: 470,532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,114.25 : 314,428.88 = 314,428.88 : x
  2. Step 2: Convert to fraction form
    210,114.25/314,428.88 = 314,428.88/x
  3. Step 3: Cross multiply
    210,114.25x = 314,428.88 × 314,428.88
  4. Step 4: Simplify right side
    210,114.25x = 98,865,517,433.77
  5. Step 5: Solve for x
    x = 98,865,517,433.77/210,114.25
  6. Step 6: Final answer
    x = 470,532.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.