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Finding the Third Proportional to 134,032.50 and 288,659

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Solution

The third proportional to 134,032.50 and 288,659 is: 621,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,032.50 : 288,659 = 288,659 : x
  2. Step 2: Convert to fraction form
    134,032.50/288,659 = 288,659/x
  3. Step 3: Cross multiply
    134,032.50x = 288,659 × 288,659
  4. Step 4: Simplify right side
    134,032.50x = 83,324,018,281
  5. Step 5: Solve for x
    x = 83,324,018,281/134,032.50
  6. Step 6: Final answer
    x = 621,670.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.