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Finding the Third Proportional to 154,702.41 and 319,038.75

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Solution

The third proportional to 154,702.41 and 319,038.75 is: 657,945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,702.41 : 319,038.75 = 319,038.75 : x
  2. Step 2: Convert to fraction form
    154,702.41/319,038.75 = 319,038.75/x
  3. Step 3: Cross multiply
    154,702.41x = 319,038.75 × 319,038.75
  4. Step 4: Simplify right side
    154,702.41x = 101,785,724,001.56
  5. Step 5: Solve for x
    x = 101,785,724,001.56/154,702.41
  6. Step 6: Final answer
    x = 657,945.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.