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Finding the Third Proportional to 258,156 and 559,205

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Solution

The third proportional to 258,156 and 559,205 is: 1,211,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,156 : 559,205 = 559,205 : x
  2. Step 2: Convert to fraction form
    258,156/559,205 = 559,205/x
  3. Step 3: Cross multiply
    258,156x = 559,205 × 559,205
  4. Step 4: Simplify right side
    258,156x = 312,710,232,025
  5. Step 5: Solve for x
    x = 312,710,232,025/258,156
  6. Step 6: Final answer
    x = 1,211,322.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.