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Finding the Third Proportional to 157,304.25 and 235,973.25

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Solution

The third proportional to 157,304.25 and 235,973.25 is: 353,985.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,304.25 : 235,973.25 = 235,973.25 : x
  2. Step 2: Convert to fraction form
    157,304.25/235,973.25 = 235,973.25/x
  3. Step 3: Cross multiply
    157,304.25x = 235,973.25 × 235,973.25
  4. Step 4: Simplify right side
    157,304.25x = 55,683,374,715.56
  5. Step 5: Solve for x
    x = 55,683,374,715.56/157,304.25
  6. Step 6: Final answer
    x = 353,985.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.