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Finding the Third Proportional to 119,300.81 and 257,282.25

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Solution

The third proportional to 119,300.81 and 257,282.25 is: 554,850.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,300.81 : 257,282.25 = 257,282.25 : x
  2. Step 2: Convert to fraction form
    119,300.81/257,282.25 = 257,282.25/x
  3. Step 3: Cross multiply
    119,300.81x = 257,282.25 × 257,282.25
  4. Step 4: Simplify right side
    119,300.81x = 66,194,156,165.06
  5. Step 5: Solve for x
    x = 66,194,156,165.06/119,300.81
  6. Step 6: Final answer
    x = 554,850.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.