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Finding the Third Proportional to 159,957 and 370,307.25

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Solution

The third proportional to 159,957 and 370,307.25 is: 857,277.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,957 : 370,307.25 = 370,307.25 : x
  2. Step 2: Convert to fraction form
    159,957/370,307.25 = 370,307.25/x
  3. Step 3: Cross multiply
    159,957x = 370,307.25 × 370,307.25
  4. Step 4: Simplify right side
    159,957x = 137,127,459,402.56
  5. Step 5: Solve for x
    x = 137,127,459,402.56/159,957
  6. Step 6: Final answer
    x = 857,277.01

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.