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Finding the Third Proportional to 180,875.25 and 265,899.38

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Solution

The third proportional to 180,875.25 and 265,899.38 is: 390,890.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,875.25 : 265,899.38 = 265,899.38 : x
  2. Step 2: Convert to fraction form
    180,875.25/265,899.38 = 265,899.38/x
  3. Step 3: Cross multiply
    180,875.25x = 265,899.38 × 265,899.38
  4. Step 4: Simplify right side
    180,875.25x = 70,702,477,625.39
  5. Step 5: Solve for x
    x = 70,702,477,625.39/180,875.25
  6. Step 6: Final answer
    x = 390,890.84

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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.