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Finding the Third Proportional to 147,018 and 207,037.69

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Solution

The third proportional to 147,018 and 207,037.69 is: 291,560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,018 : 207,037.69 = 207,037.69 : x
  2. Step 2: Convert to fraction form
    147,018/207,037.69 = 207,037.69/x
  3. Step 3: Cross multiply
    147,018x = 207,037.69 × 207,037.69
  4. Step 4: Simplify right side
    147,018x = 42,864,604,045.35
  5. Step 5: Solve for x
    x = 42,864,604,045.35/147,018
  6. Step 6: Final answer
    x = 291,560.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.