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Finding the Third Proportional to 253,681.50 and 390,060

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Solution

The third proportional to 253,681.50 and 390,060 is: 599,755.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,681.50 : 390,060 = 390,060 : x
  2. Step 2: Convert to fraction form
    253,681.50/390,060 = 390,060/x
  3. Step 3: Cross multiply
    253,681.50x = 390,060 × 390,060
  4. Step 4: Simplify right side
    253,681.50x = 152,146,803,600
  5. Step 5: Solve for x
    x = 152,146,803,600/253,681.50
  6. Step 6: Final answer
    x = 599,755.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.