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Finding the Third Proportional to 157,730 and 347,000.50

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Solution

The third proportional to 157,730 and 347,000.50 is: 763,389.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,730 : 347,000.50 = 347,000.50 : x
  2. Step 2: Convert to fraction form
    157,730/347,000.50 = 347,000.50/x
  3. Step 3: Cross multiply
    157,730x = 347,000.50 × 347,000.50
  4. Step 4: Simplify right side
    157,730x = 120,409,347,000.25
  5. Step 5: Solve for x
    x = 120,409,347,000.25/157,730
  6. Step 6: Final answer
    x = 763,389.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.