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Finding the Third Proportional to 180,315.75 and 265,370.63

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Solution

The third proportional to 180,315.75 and 265,370.63 is: 390,545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,315.75 : 265,370.63 = 265,370.63 : x
  2. Step 2: Convert to fraction form
    180,315.75/265,370.63 = 265,370.63/x
  3. Step 3: Cross multiply
    180,315.75x = 265,370.63 × 265,370.63
  4. Step 4: Simplify right side
    180,315.75x = 70,421,568,612.89
  5. Step 5: Solve for x
    x = 70,421,568,612.89/180,315.75
  6. Step 6: Final answer
    x = 390,545.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.