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Finding the Third Proportional to 169,681 and 353,332

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Solution

The third proportional to 169,681 and 353,332 is: 735,754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,681 : 353,332 = 353,332 : x
  2. Step 2: Convert to fraction form
    169,681/353,332 = 353,332/x
  3. Step 3: Cross multiply
    169,681x = 353,332 × 353,332
  4. Step 4: Simplify right side
    169,681x = 124,843,502,224
  5. Step 5: Solve for x
    x = 124,843,502,224/169,681
  6. Step 6: Final answer
    x = 735,754.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.