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Finding the Third Proportional to 158,127 and 340,434

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Solution

The third proportional to 158,127 and 340,434 is: 732,925.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,127 : 340,434 = 340,434 : x
  2. Step 2: Convert to fraction form
    158,127/340,434 = 340,434/x
  3. Step 3: Cross multiply
    158,127x = 340,434 × 340,434
  4. Step 4: Simplify right side
    158,127x = 115,895,308,356
  5. Step 5: Solve for x
    x = 115,895,308,356/158,127
  6. Step 6: Final answer
    x = 732,925.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.