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Finding the Third Proportional to 145,856 and 318,706

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Solution

The third proportional to 145,856 and 318,706 is: 696,395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,856 : 318,706 = 318,706 : x
  2. Step 2: Convert to fraction form
    145,856/318,706 = 318,706/x
  3. Step 3: Cross multiply
    145,856x = 318,706 × 318,706
  4. Step 4: Simplify right side
    145,856x = 101,573,514,436
  5. Step 5: Solve for x
    x = 101,573,514,436/145,856
  6. Step 6: Final answer
    x = 696,395.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.