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Finding the Third Proportional to 133,341.19 and 293,700.94

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Solution

The third proportional to 133,341.19 and 293,700.94 is: 646,913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,341.19 : 293,700.94 = 293,700.94 : x
  2. Step 2: Convert to fraction form
    133,341.19/293,700.94 = 293,700.94/x
  3. Step 3: Cross multiply
    133,341.19x = 293,700.94 × 293,700.94
  4. Step 4: Simplify right side
    133,341.19x = 86,260,240,688.38
  5. Step 5: Solve for x
    x = 86,260,240,688.38/133,341.19
  6. Step 6: Final answer
    x = 646,913.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.