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Finding the Third Proportional to 169,019 and 358,770

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Solution

The third proportional to 169,019 and 358,770 is: 761,547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,019 : 358,770 = 358,770 : x
  2. Step 2: Convert to fraction form
    169,019/358,770 = 358,770/x
  3. Step 3: Cross multiply
    169,019x = 358,770 × 358,770
  4. Step 4: Simplify right side
    169,019x = 128,715,912,900
  5. Step 5: Solve for x
    x = 128,715,912,900/169,019
  6. Step 6: Final answer
    x = 761,547.00

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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.