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Finding the Third Proportional to 157,861.50 and 348,946

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Solution

The third proportional to 157,861.50 and 348,946 is: 771,330.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,861.50 : 348,946 = 348,946 : x
  2. Step 2: Convert to fraction form
    157,861.50/348,946 = 348,946/x
  3. Step 3: Cross multiply
    157,861.50x = 348,946 × 348,946
  4. Step 4: Simplify right side
    157,861.50x = 121,763,310,916
  5. Step 5: Solve for x
    x = 121,763,310,916/157,861.50
  6. Step 6: Final answer
    x = 771,330.00

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.