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Finding the Third Proportional to 164,810.25 and 352,948.50

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Solution

The third proportional to 164,810.25 and 352,948.50 is: 755,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,810.25 : 352,948.50 = 352,948.50 : x
  2. Step 2: Convert to fraction form
    164,810.25/352,948.50 = 352,948.50/x
  3. Step 3: Cross multiply
    164,810.25x = 352,948.50 × 352,948.50
  4. Step 4: Simplify right side
    164,810.25x = 124,572,643,652.25
  5. Step 5: Solve for x
    x = 124,572,643,652.25/164,810.25
  6. Step 6: Final answer
    x = 755,854.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.