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Finding the Third Proportional to 163,306 and 356,564

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Solution

The third proportional to 163,306 and 356,564 is: 778,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,306 : 356,564 = 356,564 : x
  2. Step 2: Convert to fraction form
    163,306/356,564 = 356,564/x
  3. Step 3: Cross multiply
    163,306x = 356,564 × 356,564
  4. Step 4: Simplify right side
    163,306x = 127,137,886,096
  5. Step 5: Solve for x
    x = 127,137,886,096/163,306
  6. Step 6: Final answer
    x = 778,525.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.