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Finding the Third Proportional to 196,127 and 303,066.50

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Solution

The third proportional to 196,127 and 303,066.50 is: 468,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,127 : 303,066.50 = 303,066.50 : x
  2. Step 2: Convert to fraction form
    196,127/303,066.50 = 303,066.50/x
  3. Step 3: Cross multiply
    196,127x = 303,066.50 × 303,066.50
  4. Step 4: Simplify right side
    196,127x = 91,849,303,422.25
  5. Step 5: Solve for x
    x = 91,849,303,422.25/196,127
  6. Step 6: Final answer
    x = 468,315.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.