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Finding the Third Proportional to 158,836 and 346,148

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Solution

The third proportional to 158,836 and 346,148 is: 754,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,836 : 346,148 = 346,148 : x
  2. Step 2: Convert to fraction form
    158,836/346,148 = 346,148/x
  3. Step 3: Cross multiply
    158,836x = 346,148 × 346,148
  4. Step 4: Simplify right side
    158,836x = 119,818,437,904
  5. Step 5: Solve for x
    x = 119,818,437,904/158,836
  6. Step 6: Final answer
    x = 754,353.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.