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Finding the Third Proportional to 163,370 and 358,960

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Solution

The third proportional to 163,370 and 358,960 is: 788,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,370 : 358,960 = 358,960 : x
  2. Step 2: Convert to fraction form
    163,370/358,960 = 358,960/x
  3. Step 3: Cross multiply
    163,370x = 358,960 × 358,960
  4. Step 4: Simplify right side
    163,370x = 128,852,281,600
  5. Step 5: Solve for x
    x = 128,852,281,600/163,370
  6. Step 6: Final answer
    x = 788,714.46

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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.