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Finding the Third Proportional to 169,018 and 358,768

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Solution

The third proportional to 169,018 and 358,768 is: 761,543.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,018 : 358,768 = 358,768 : x
  2. Step 2: Convert to fraction form
    169,018/358,768 = 358,768/x
  3. Step 3: Cross multiply
    169,018x = 358,768 × 358,768
  4. Step 4: Simplify right side
    169,018x = 128,714,477,824
  5. Step 5: Solve for x
    x = 128,714,477,824/169,018
  6. Step 6: Final answer
    x = 761,543.02

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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.