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Finding the Third Proportional to 158,506.50 and 346,402.50

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Solution

The third proportional to 158,506.50 and 346,402.50 is: 757,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,506.50 : 346,402.50 = 346,402.50 : x
  2. Step 2: Convert to fraction form
    158,506.50/346,402.50 = 346,402.50/x
  3. Step 3: Cross multiply
    158,506.50x = 346,402.50 × 346,402.50
  4. Step 4: Simplify right side
    158,506.50x = 119,994,692,006.25
  5. Step 5: Solve for x
    x = 119,994,692,006.25/158,506.50
  6. Step 6: Final answer
    x = 757,033.26

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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.