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Finding the Third Proportional to 249,430.25 and 380,372.25

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Solution

The third proportional to 249,430.25 and 380,372.25 is: 580,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,430.25 : 380,372.25 = 380,372.25 : x
  2. Step 2: Convert to fraction form
    249,430.25/380,372.25 = 380,372.25/x
  3. Step 3: Cross multiply
    249,430.25x = 380,372.25 × 380,372.25
  4. Step 4: Simplify right side
    249,430.25x = 144,683,048,570.06
  5. Step 5: Solve for x
    x = 144,683,048,570.06/249,430.25
  6. Step 6: Final answer
    x = 580,054.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.