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Finding the Third Proportional to 159,053 and 336,513

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Solution

The third proportional to 159,053 and 336,513 is: 711,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,053 : 336,513 = 336,513 : x
  2. Step 2: Convert to fraction form
    159,053/336,513 = 336,513/x
  3. Step 3: Cross multiply
    159,053x = 336,513 × 336,513
  4. Step 4: Simplify right side
    159,053x = 113,240,999,169
  5. Step 5: Solve for x
    x = 113,240,999,169/159,053
  6. Step 6: Final answer
    x = 711,970.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.