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Finding the Third Proportional to 132,312 and 312,084

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Solution

The third proportional to 132,312 and 312,084 is: 736,111.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,312 : 312,084 = 312,084 : x
  2. Step 2: Convert to fraction form
    132,312/312,084 = 312,084/x
  3. Step 3: Cross multiply
    132,312x = 312,084 × 312,084
  4. Step 4: Simplify right side
    132,312x = 97,396,423,056
  5. Step 5: Solve for x
    x = 97,396,423,056/132,312
  6. Step 6: Final answer
    x = 736,111.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.