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Finding the Third Proportional to 315,875 and 675,166

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Solution

The third proportional to 315,875 and 675,166 is: 1,443,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,875 : 675,166 = 675,166 : x
  2. Step 2: Convert to fraction form
    315,875/675,166 = 675,166/x
  3. Step 3: Cross multiply
    315,875x = 675,166 × 675,166
  4. Step 4: Simplify right side
    315,875x = 455,849,127,556
  5. Step 5: Solve for x
    x = 455,849,127,556/315,875
  6. Step 6: Final answer
    x = 1,443,131.39

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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.