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Finding the Third Proportional to 180,913.50 and 265,953.38

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Solution

The third proportional to 180,913.50 and 265,953.38 is: 390,966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,913.50 : 265,953.38 = 265,953.38 : x
  2. Step 2: Convert to fraction form
    180,913.50/265,953.38 = 265,953.38/x
  3. Step 3: Cross multiply
    180,913.50x = 265,953.38 × 265,953.38
  4. Step 4: Simplify right side
    180,913.50x = 70,731,197,673.89
  5. Step 5: Solve for x
    x = 70,731,197,673.89/180,913.50
  6. Step 6: Final answer
    x = 390,966.94

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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.