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Finding the Third Proportional to 221,470 and 343,580.50

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Solution

The third proportional to 221,470 and 343,580.50 is: 533,018.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,470 : 343,580.50 = 343,580.50 : x
  2. Step 2: Convert to fraction form
    221,470/343,580.50 = 343,580.50/x
  3. Step 3: Cross multiply
    221,470x = 343,580.50 × 343,580.50
  4. Step 4: Simplify right side
    221,470x = 118,047,559,980.25
  5. Step 5: Solve for x
    x = 118,047,559,980.25/221,470
  6. Step 6: Final answer
    x = 533,018.29

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