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Finding the Third Proportional to 172,570.50 and 377,176.50

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Solution

The third proportional to 172,570.50 and 377,176.50 is: 824,370.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,570.50 : 377,176.50 = 377,176.50 : x
  2. Step 2: Convert to fraction form
    172,570.50/377,176.50 = 377,176.50/x
  3. Step 3: Cross multiply
    172,570.50x = 377,176.50 × 377,176.50
  4. Step 4: Simplify right side
    172,570.50x = 142,262,112,152.25
  5. Step 5: Solve for x
    x = 142,262,112,152.25/172,570.50
  6. Step 6: Final answer
    x = 824,370.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.