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Finding the Third Proportional to 180,146 and 286,707

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Solution

The third proportional to 180,146 and 286,707 is: 456,301.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,146 : 286,707 = 286,707 : x
  2. Step 2: Convert to fraction form
    180,146/286,707 = 286,707/x
  3. Step 3: Cross multiply
    180,146x = 286,707 × 286,707
  4. Step 4: Simplify right side
    180,146x = 82,200,903,849
  5. Step 5: Solve for x
    x = 82,200,903,849/180,146
  6. Step 6: Final answer
    x = 456,301.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.