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Finding the Third Proportional to 233,598.94 and 334,047.16

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Solution

The third proportional to 233,598.94 and 334,047.16 is: 477,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,598.94 : 334,047.16 = 334,047.16 : x
  2. Step 2: Convert to fraction form
    233,598.94/334,047.16 = 334,047.16/x
  3. Step 3: Cross multiply
    233,598.94x = 334,047.16 × 334,047.16
  4. Step 4: Simplify right side
    233,598.94x = 111,587,507,818.20
  5. Step 5: Solve for x
    x = 111,587,507,818.20/233,598.94
  6. Step 6: Final answer
    x = 477,688.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.