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Finding the Third Proportional to 175,160.81 and 235,364.06

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Solution

The third proportional to 175,160.81 and 235,364.06 is: 316,259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,160.81 : 235,364.06 = 235,364.06 : x
  2. Step 2: Convert to fraction form
    175,160.81/235,364.06 = 235,364.06/x
  3. Step 3: Cross multiply
    175,160.81x = 235,364.06 × 235,364.06
  4. Step 4: Simplify right side
    175,160.81x = 55,396,241,916.50
  5. Step 5: Solve for x
    x = 55,396,241,916.50/175,160.81
  6. Step 6: Final answer
    x = 316,259.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.