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Finding the Third Proportional to 157,389 and 237,580.50

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Solution

The third proportional to 157,389 and 237,580.50 is: 358,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,389 : 237,580.50 = 237,580.50 : x
  2. Step 2: Convert to fraction form
    157,389/237,580.50 = 237,580.50/x
  3. Step 3: Cross multiply
    157,389x = 237,580.50 × 237,580.50
  4. Step 4: Simplify right side
    157,389x = 56,444,493,980.25
  5. Step 5: Solve for x
    x = 56,444,493,980.25/157,389
  6. Step 6: Final answer
    x = 358,630.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.