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Finding the Third Proportional to 158,051 and 344,506

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Solution

The third proportional to 158,051 and 344,506 is: 750,924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,051 : 344,506 = 344,506 : x
  2. Step 2: Convert to fraction form
    158,051/344,506 = 344,506/x
  3. Step 3: Cross multiply
    158,051x = 344,506 × 344,506
  4. Step 4: Simplify right side
    158,051x = 118,684,384,036
  5. Step 5: Solve for x
    x = 118,684,384,036/158,051
  6. Step 6: Final answer
    x = 750,924.60

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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.