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Finding the Third Proportional to 147,567.25 and 312,868.25

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Solution

The third proportional to 147,567.25 and 312,868.25 is: 663,335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,567.25 : 312,868.25 = 312,868.25 : x
  2. Step 2: Convert to fraction form
    147,567.25/312,868.25 = 312,868.25/x
  3. Step 3: Cross multiply
    147,567.25x = 312,868.25 × 312,868.25
  4. Step 4: Simplify right side
    147,567.25x = 97,886,541,858.06
  5. Step 5: Solve for x
    x = 97,886,541,858.06/147,567.25
  6. Step 6: Final answer
    x = 663,335.14

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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.