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Finding the Third Proportional to 157,040 and 343,985.75

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Solution

The third proportional to 157,040 and 343,985.75 is: 753,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,040 : 343,985.75 = 343,985.75 : x
  2. Step 2: Convert to fraction form
    157,040/343,985.75 = 343,985.75/x
  3. Step 3: Cross multiply
    157,040x = 343,985.75 × 343,985.75
  4. Step 4: Simplify right side
    157,040x = 118,326,196,203.06
  5. Step 5: Solve for x
    x = 118,326,196,203.06/157,040
  6. Step 6: Final answer
    x = 753,478.07

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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.