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Finding the Third Proportional to 147,192.19 and 233,454.66

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Solution

The third proportional to 147,192.19 and 233,454.66 is: 370,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,192.19 : 233,454.66 = 233,454.66 : x
  2. Step 2: Convert to fraction form
    147,192.19/233,454.66 = 233,454.66/x
  3. Step 3: Cross multiply
    147,192.19x = 233,454.66 × 233,454.66
  4. Step 4: Simplify right side
    147,192.19x = 54,501,076,524.81
  5. Step 5: Solve for x
    x = 54,501,076,524.81/147,192.19
  6. Step 6: Final answer
    x = 370,271.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.