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Finding the Third Proportional to 153,804 and 232,756.50

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Solution

The third proportional to 153,804 and 232,756.50 is: 352,237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,804 : 232,756.50 = 232,756.50 : x
  2. Step 2: Convert to fraction form
    153,804/232,756.50 = 232,756.50/x
  3. Step 3: Cross multiply
    153,804x = 232,756.50 × 232,756.50
  4. Step 4: Simplify right side
    153,804x = 54,175,588,292.25
  5. Step 5: Solve for x
    x = 54,175,588,292.25/153,804
  6. Step 6: Final answer
    x = 352,237.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.