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Finding the Third Proportional to 163,118 and 358,312

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Solution

The third proportional to 163,118 and 358,312 is: 787,083.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,118 : 358,312 = 358,312 : x
  2. Step 2: Convert to fraction form
    163,118/358,312 = 358,312/x
  3. Step 3: Cross multiply
    163,118x = 358,312 × 358,312
  4. Step 4: Simplify right side
    163,118x = 128,387,489,344
  5. Step 5: Solve for x
    x = 128,387,489,344/163,118
  6. Step 6: Final answer
    x = 787,083.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.