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Finding the Third Proportional to 157,280.50 and 342,209

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Solution

The third proportional to 157,280.50 and 342,209 is: 744,574.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,280.50 : 342,209 = 342,209 : x
  2. Step 2: Convert to fraction form
    157,280.50/342,209 = 342,209/x
  3. Step 3: Cross multiply
    157,280.50x = 342,209 × 342,209
  4. Step 4: Simplify right side
    157,280.50x = 117,106,999,681
  5. Step 5: Solve for x
    x = 117,106,999,681/157,280.50
  6. Step 6: Final answer
    x = 744,574.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.