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Finding the Third Proportional to 140,478.47 and 307,184.06

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Solution

The third proportional to 140,478.47 and 307,184.06 is: 671,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,478.47 : 307,184.06 = 307,184.06 : x
  2. Step 2: Convert to fraction form
    140,478.47/307,184.06 = 307,184.06/x
  3. Step 3: Cross multiply
    140,478.47x = 307,184.06 × 307,184.06
  4. Step 4: Simplify right side
    140,478.47x = 94,362,048,254.00
  5. Step 5: Solve for x
    x = 94,362,048,254.00/140,478.47
  6. Step 6: Final answer
    x = 671,718.94

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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.