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Finding the Third Proportional to 286,155 and 565,105.50

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Solution

The third proportional to 286,155 and 565,105.50 is: 1,115,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,155 : 565,105.50 = 565,105.50 : x
  2. Step 2: Convert to fraction form
    286,155/565,105.50 = 565,105.50/x
  3. Step 3: Cross multiply
    286,155x = 565,105.50 × 565,105.50
  4. Step 4: Simplify right side
    286,155x = 319,344,226,130.25
  5. Step 5: Solve for x
    x = 319,344,226,130.25/286,155
  6. Step 6: Final answer
    x = 1,115,983.39

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.