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Finding the Third Proportional to 157,688 and 235,914

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Solution

The third proportional to 157,688 and 235,914 is: 352,946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,688 : 235,914 = 235,914 : x
  2. Step 2: Convert to fraction form
    157,688/235,914 = 235,914/x
  3. Step 3: Cross multiply
    157,688x = 235,914 × 235,914
  4. Step 4: Simplify right side
    157,688x = 55,655,415,396
  5. Step 5: Solve for x
    x = 55,655,415,396/157,688
  6. Step 6: Final answer
    x = 352,946.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.