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Finding the Third Proportional to 233,052.19 and 359,881.10

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Solution

The third proportional to 233,052.19 and 359,881.10 is: 555,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,052.19 : 359,881.10 = 359,881.10 : x
  2. Step 2: Convert to fraction form
    233,052.19/359,881.10 = 359,881.10/x
  3. Step 3: Cross multiply
    233,052.19x = 359,881.10 × 359,881.10
  4. Step 4: Simplify right side
    233,052.19x = 129,514,407,261.84
  5. Step 5: Solve for x
    x = 129,514,407,261.84/233,052.19
  6. Step 6: Final answer
    x = 555,731.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.