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Finding the Third Proportional to 157,038.75 and 243,496.13

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Solution

The third proportional to 157,038.75 and 243,496.13 is: 377,552.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,038.75 : 243,496.13 = 243,496.13 : x
  2. Step 2: Convert to fraction form
    157,038.75/243,496.13 = 243,496.13/x
  3. Step 3: Cross multiply
    157,038.75x = 243,496.13 × 243,496.13
  4. Step 4: Simplify right side
    157,038.75x = 59,290,362,890.02
  5. Step 5: Solve for x
    x = 59,290,362,890.02/157,038.75
  6. Step 6: Final answer
    x = 377,552.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.