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Finding the Third Proportional to 282,207 and 432,301.50

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Solution

The third proportional to 282,207 and 432,301.50 is: 662,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,207 : 432,301.50 = 432,301.50 : x
  2. Step 2: Convert to fraction form
    282,207/432,301.50 = 432,301.50/x
  3. Step 3: Cross multiply
    282,207x = 432,301.50 × 432,301.50
  4. Step 4: Simplify right side
    282,207x = 186,884,586,902.25
  5. Step 5: Solve for x
    x = 186,884,586,902.25/282,207
  6. Step 6: Final answer
    x = 662,225.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.