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Finding the Third Proportional to 142,488 and 304,045.50

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Solution

The third proportional to 142,488 and 304,045.50 is: 648,782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,488 : 304,045.50 = 304,045.50 : x
  2. Step 2: Convert to fraction form
    142,488/304,045.50 = 304,045.50/x
  3. Step 3: Cross multiply
    142,488x = 304,045.50 × 304,045.50
  4. Step 4: Simplify right side
    142,488x = 92,443,666,070.25
  5. Step 5: Solve for x
    x = 92,443,666,070.25/142,488
  6. Step 6: Final answer
    x = 648,782.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.