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Finding the Third Proportional to 175,477.50 and 282,595.50

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Solution

The third proportional to 175,477.50 and 282,595.50 is: 455,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,477.50 : 282,595.50 = 282,595.50 : x
  2. Step 2: Convert to fraction form
    175,477.50/282,595.50 = 282,595.50/x
  3. Step 3: Cross multiply
    175,477.50x = 282,595.50 × 282,595.50
  4. Step 4: Simplify right side
    175,477.50x = 79,860,216,620.25
  5. Step 5: Solve for x
    x = 79,860,216,620.25/175,477.50
  6. Step 6: Final answer
    x = 455,102.32

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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.