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Finding the Third Proportional to 169,569 and 358,038

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Solution

The third proportional to 169,569 and 358,038 is: 755,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,569 : 358,038 = 358,038 : x
  2. Step 2: Convert to fraction form
    169,569/358,038 = 358,038/x
  3. Step 3: Cross multiply
    169,569x = 358,038 × 358,038
  4. Step 4: Simplify right side
    169,569x = 128,191,209,444
  5. Step 5: Solve for x
    x = 128,191,209,444/169,569
  6. Step 6: Final answer
    x = 755,982.58

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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.