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Finding the Third Proportional to 141,328.55 and 304,813.13

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Solution

The third proportional to 141,328.55 and 304,813.13 is: 657,411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,328.55 : 304,813.13 = 304,813.13 : x
  2. Step 2: Convert to fraction form
    141,328.55/304,813.13 = 304,813.13/x
  3. Step 3: Cross multiply
    141,328.55x = 304,813.13 × 304,813.13
  4. Step 4: Simplify right side
    141,328.55x = 92,911,041,172.27
  5. Step 5: Solve for x
    x = 92,911,041,172.27/141,328.55
  6. Step 6: Final answer
    x = 657,411.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.