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Finding the Third Proportional to 135,320.63 and 289,413

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Solution

The third proportional to 135,320.63 and 289,413 is: 618,973.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,320.63 : 289,413 = 289,413 : x
  2. Step 2: Convert to fraction form
    135,320.63/289,413 = 289,413/x
  3. Step 3: Cross multiply
    135,320.63x = 289,413 × 289,413
  4. Step 4: Simplify right side
    135,320.63x = 83,759,884,569
  5. Step 5: Solve for x
    x = 83,759,884,569/135,320.63
  6. Step 6: Final answer
    x = 618,973.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.