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Finding the Third Proportional to 147,805 and 229,297

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Solution

The third proportional to 147,805 and 229,297 is: 355,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,805 : 229,297 = 229,297 : x
  2. Step 2: Convert to fraction form
    147,805/229,297 = 229,297/x
  3. Step 3: Cross multiply
    147,805x = 229,297 × 229,297
  4. Step 4: Simplify right side
    147,805x = 52,577,114,209
  5. Step 5: Solve for x
    x = 52,577,114,209/147,805
  6. Step 6: Final answer
    x = 355,719.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.