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Finding the Third Proportional to 233,490.38 and 341,907.75

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Solution

The third proportional to 233,490.38 and 341,907.75 is: 500,666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,490.38 : 341,907.75 = 341,907.75 : x
  2. Step 2: Convert to fraction form
    233,490.38/341,907.75 = 341,907.75/x
  3. Step 3: Cross multiply
    233,490.38x = 341,907.75 × 341,907.75
  4. Step 4: Simplify right side
    233,490.38x = 116,900,909,510.06
  5. Step 5: Solve for x
    x = 116,900,909,510.06/233,490.38
  6. Step 6: Final answer
    x = 500,666.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.