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Finding the Third Proportional to 157,039.75 and 343,985.50

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Solution

The third proportional to 157,039.75 and 343,985.50 is: 753,478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,039.75 : 343,985.50 = 343,985.50 : x
  2. Step 2: Convert to fraction form
    157,039.75/343,985.50 = 343,985.50/x
  3. Step 3: Cross multiply
    157,039.75x = 343,985.50 × 343,985.50
  4. Step 4: Simplify right side
    157,039.75x = 118,326,024,210.25
  5. Step 5: Solve for x
    x = 118,326,024,210.25/157,039.75
  6. Step 6: Final answer
    x = 753,478.17

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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.