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Finding the Third Proportional to 175,465.13 and 282,577.50

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Solution

The third proportional to 175,465.13 and 282,577.50 is: 455,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,465.13 : 282,577.50 = 282,577.50 : x
  2. Step 2: Convert to fraction form
    175,465.13/282,577.50 = 282,577.50/x
  3. Step 3: Cross multiply
    175,465.13x = 282,577.50 × 282,577.50
  4. Step 4: Simplify right side
    175,465.13x = 79,850,043,506.25
  5. Step 5: Solve for x
    x = 79,850,043,506.25/175,465.13
  6. Step 6: Final answer
    x = 455,076.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.