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Finding the Third Proportional to 163,586.25 and 346,585.50

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Solution

The third proportional to 163,586.25 and 346,585.50 is: 734,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,586.25 : 346,585.50 = 346,585.50 : x
  2. Step 2: Convert to fraction form
    163,586.25/346,585.50 = 346,585.50/x
  3. Step 3: Cross multiply
    163,586.25x = 346,585.50 × 346,585.50
  4. Step 4: Simplify right side
    163,586.25x = 120,121,508,810.25
  5. Step 5: Solve for x
    x = 120,121,508,810.25/163,586.25
  6. Step 6: Final answer
    x = 734,300.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.