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Finding the Third Proportional to 119,143.13 and 232,300.13

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Solution

The third proportional to 119,143.13 and 232,300.13 is: 452,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,143.13 : 232,300.13 = 232,300.13 : x
  2. Step 2: Convert to fraction form
    119,143.13/232,300.13 = 232,300.13/x
  3. Step 3: Cross multiply
    119,143.13x = 232,300.13 × 232,300.13
  4. Step 4: Simplify right side
    119,143.13x = 53,963,348,075.02
  5. Step 5: Solve for x
    x = 53,963,348,075.02/119,143.13
  6. Step 6: Final answer
    x = 452,928.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.