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Finding the Third Proportional to 243,148.50 and 390,670.50

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Solution

The third proportional to 243,148.50 and 390,670.50 is: 627,696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,148.50 : 390,670.50 = 390,670.50 : x
  2. Step 2: Convert to fraction form
    243,148.50/390,670.50 = 390,670.50/x
  3. Step 3: Cross multiply
    243,148.50x = 390,670.50 × 390,670.50
  4. Step 4: Simplify right side
    243,148.50x = 152,623,439,570.25
  5. Step 5: Solve for x
    x = 152,623,439,570.25/243,148.50
  6. Step 6: Final answer
    x = 627,696.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.