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Finding the Third Proportional to 163,750 and 358,050

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Solution

The third proportional to 163,750 and 358,050 is: 782,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,750 : 358,050 = 358,050 : x
  2. Step 2: Convert to fraction form
    163,750/358,050 = 358,050/x
  3. Step 3: Cross multiply
    163,750x = 358,050 × 358,050
  4. Step 4: Simplify right side
    163,750x = 128,199,802,500
  5. Step 5: Solve for x
    x = 128,199,802,500/163,750
  6. Step 6: Final answer
    x = 782,899.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.