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Finding the Third Proportional to 141,304.50 and 307,000.13

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Solution

The third proportional to 141,304.50 and 307,000.13 is: 666,992.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,304.50 : 307,000.13 = 307,000.13 : x
  2. Step 2: Convert to fraction form
    141,304.50/307,000.13 = 307,000.13/x
  3. Step 3: Cross multiply
    141,304.50x = 307,000.13 × 307,000.13
  4. Step 4: Simplify right side
    141,304.50x = 94,249,076,750.02
  5. Step 5: Solve for x
    x = 94,249,076,750.02/141,304.50
  6. Step 6: Final answer
    x = 666,992.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.