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Finding the Third Proportional to 282,157 and 603,139

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Solution

The third proportional to 282,157 and 603,139 is: 1,289,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,157 : 603,139 = 603,139 : x
  2. Step 2: Convert to fraction form
    282,157/603,139 = 603,139/x
  3. Step 3: Cross multiply
    282,157x = 603,139 × 603,139
  4. Step 4: Simplify right side
    282,157x = 363,776,653,321
  5. Step 5: Solve for x
    x = 363,776,653,321/282,157
  6. Step 6: Final answer
    x = 1,289,270.35

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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.