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Finding the Third Proportional to 238,688 and 334,596

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Solution

The third proportional to 238,688 and 334,596 is: 469,041.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,688 : 334,596 = 334,596 : x
  2. Step 2: Convert to fraction form
    238,688/334,596 = 334,596/x
  3. Step 3: Cross multiply
    238,688x = 334,596 × 334,596
  4. Step 4: Simplify right side
    238,688x = 111,954,483,216
  5. Step 5: Solve for x
    x = 111,954,483,216/238,688
  6. Step 6: Final answer
    x = 469,041.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.