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Finding the Third Proportional to 180,899.50 and 265,929

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Solution

The third proportional to 180,899.50 and 265,929 is: 390,925.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,899.50 : 265,929 = 265,929 : x
  2. Step 2: Convert to fraction form
    180,899.50/265,929 = 265,929/x
  3. Step 3: Cross multiply
    180,899.50x = 265,929 × 265,929
  4. Step 4: Simplify right side
    180,899.50x = 70,718,233,041
  5. Step 5: Solve for x
    x = 70,718,233,041/180,899.50
  6. Step 6: Final answer
    x = 390,925.53

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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.