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Finding the Third Proportional to 141,407 and 304,953.50

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Solution

The third proportional to 141,407 and 304,953.50 is: 657,652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,407 : 304,953.50 = 304,953.50 : x
  2. Step 2: Convert to fraction form
    141,407/304,953.50 = 304,953.50/x
  3. Step 3: Cross multiply
    141,407x = 304,953.50 × 304,953.50
  4. Step 4: Simplify right side
    141,407x = 92,996,637,162.25
  5. Step 5: Solve for x
    x = 92,996,637,162.25/141,407
  6. Step 6: Final answer
    x = 657,652.29

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