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Finding the Third Proportional to 169,565 and 358,030

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Solution

The third proportional to 169,565 and 358,030 is: 755,966.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,565 : 358,030 = 358,030 : x
  2. Step 2: Convert to fraction form
    169,565/358,030 = 358,030/x
  3. Step 3: Cross multiply
    169,565x = 358,030 × 358,030
  4. Step 4: Simplify right side
    169,565x = 128,185,480,900
  5. Step 5: Solve for x
    x = 128,185,480,900/169,565
  6. Step 6: Final answer
    x = 755,966.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.